Is there specific number input component in Vuetify?

Yes there is:

<v-text-field
  v-model="numberValue"
  hide-details
  single-line
  type="number"
/>

Check out slider component docs for a working example.


Update: This answer pertains to version 1 of Vuetify, yukashima huksay's answer is correct for newer versions of Vuetify.

Setting the type attribute to type="number" is the way to go.

Original:

You could just make your own:

new Vue({ 
  el: '#app',
  data () {
     return {
       foo: 0
     }
  },
  methods: {
    increment () {
      this.foo = parseInt(this.foo,10) + 1
    },
    decrement () {
      this.foo = parseInt(this.foo,10) - 1
    }
  }
})
<link href='https://fonts.googleapis.com/css?family=Roboto:100,300,400,500,700,900|Material+Icons' rel="stylesheet">
<link href="https://cdn.jsdelivr.net/npm/vuetify/dist/vuetify.min.css" rel="stylesheet">
<script src="https://cdnjs.cloudflare.com/ajax/libs/vue/2.5.17/vue.js"></script>
<script src="https://cdn.jsdelivr.net/npm/vuetify/dist/vuetify.js"></script>

<div id="app">
    <v-app>
      <v-content>
        <v-container>
          <v-text-field v-model="foo" type="number" label="Number" append-outer-icon="add" @click:append-outer="increment" prepend-icon="remove" @click:prepend="decrement"></v-text-field>
        </v-container>
      </v-content>
    </v-app>
  </div>