You said that it comes thru without anything plugged in.
That leads me to believe you one of four things hapenning:
The input jack is also a switch. When an instrument is not plugged in, it grounds the tip. You may have a cracked solder joint on your input jack. If it is an older switchcraft, panelmount then I would clean the contact between the tip and ring.
Electrolytic capaicitors going bad can sometimes cause this. Rare, but it happens.
If you have a tube amp, dirty sockets or a poorly manufactured tube that has developed phonic properties can do this.
And of course, poor grounding. If you house has ungrounded outlets, if you have to use a 3 to 2 adapater, if the ground lug is broken off of your power cord, etc - get it fixed. As stated earlier, ungrounded enviroments are dangerous. For a solid state amp, there can be up to +40VDC and -40VDC on the output stage for a potential of 80V. That will hurt like hell if it hits you.
If grounding is not a problem with your house/practice area, then I would turn your amp in to the nearest reputable service center for a qualified technician to take a look at it.
There are amps out there though, that it was just a poor design that allowed the radio to come in, but these were no-name fly by night kinda POS's.