It does get a little confusing these days.
An integrated amp minimally integrates amp + pre-amp in one box.
These days integrated amps may also optionally integrate within the box:
1) streaming capabilities using a network connection
2) a built in DAC
3) an additional phono pre-amp for vinyl (just like the days of old)
If the device also can tune in broadcast am/fm radio stations, it’s a receiver.
Any decent receiver will provide connections needed for an external am/fm antenna to use with the radio tuner.
Just to make things confusing, devices with integrated digital streaming alone (no radio tuner, no antenna) might also be labeled or called a receiver in that it provides a means to select the digital source to listen to similar to a traditional broadcast radio receiver.
Hope that helps.