The Collaborative International Dictionary of English v.0.48:

Invite \In*vite"\, v. t. [imp. & p. p. Invited; p. pr. & vb.
   n. Inviting.] [L. invitare: cf. F. inviter. See Vie.]
   [1913 Webster]
   1. To ask; to request; to bid; to summon; to ask to do some
      act, or go to some place; esp., to ask to an entertainment
      or visit; to request the company of; as, to invite to
      dinner, or a wedding, or an excursion.
      [1913 Webster]

            So many guests invite as here are writ. --Shak.
      [1913 Webster]

            I invite his Grace of Castle Rackrent to reflect on
            this.                                 --Carlyle.
      [1913 Webster]

   2. To allure; to draw to; to tempt to come; to induce by
      pleasure or hope; to attract.
      [1913 Webster]

            To inveigle and invite the unwary sense. --Milton.
      [1913 Webster]

            Shady groves, that easy sleep invite. --Dryden.
      [1913 Webster]

            There no delusive hope invites despair. --Cowper.
      [1913 Webster]

   3. To give occasion for; as, to invite criticism.

   Syn: To solicit; bid; call; ask; summon; allure; attract;
        entice; persuade.
        [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Invite \In*vite"\, v. i.
   To give invitation. --Milton.
   [1913 Webster]

WordNet (r) 3.0 (2006):

invite
    n 1: a colloquial expression for invitation; "he didn't get no
         invite to the party"
    v 1: increase the likelihood of; "ask for trouble"; "invite
         criticism" [syn: invite, ask for]
    2: invite someone to one's house; "Can I invite you for dinner
       on Sunday night?" [syn: invite, ask over, ask round]
    3: give rise to a desire by being attractive or inviting; "the
       window displays tempted the shoppers" [syn: tempt,
       invite]
    4: ask someone in a friendly way to do something [syn: invite,
       bid]
    5: have as a guest; "I invited them to a restaurant" [syn:
       invite, pay for]
    6: ask to enter; "We invited the neighbors in for a cup of
       coffee" [syn: invite, ask in]
    7: request the participation or presence of; "The organizers
       invite submissions of papers for the conference" [syn:
       invite, call for]
    8: express willingness to have in one's home or environs; "The
       community warmly received the refugees" [syn: receive,
       take in, invite]

Moby Thesaurus II by Grady Ward, 1.0:

65 Moby Thesaurus words for "invite":
   abet, acquire, affect the interest, aid and abet, appeal, ask,
   ask for, attract, be attractive, be responsible for, beckon, bid,
   bid come, biddance, bidding, bring down, bring on, bring upon,
   call, call in, calling, concern, contract, countenance, court,
   encourage, engage, engraved invitation, entice, excite,
   excite interest, fall in with, fall into, fascinate, feed, fetch,
   foster, gain, get, give encouragement, incur, interest, inveigle,
   invitation, involve in, issue an invitation, keep in countenance,
   lure, nourish, nurture, pique, provoke, run, solicit, stimulate,
   summon, summons, tantalize, tease, tempt, tickle, titillate,
   welcome, whet the appetite, woo