I'm thinking about possibly getting the Icom R20 sometime in the future, but
before I decide, I was wondering if it picks up good or not on longwave radio?
And on the AM broadcast band? And on the shortwave bands?

I can't afford anything expensive. My limit is definitely under $500. maybe
even lower.

or is there a better radio for longwave and shortwave for that price or under
that price that has digital frequency readout and SSB capability?

And I was also wondering, are there any longwave radios for regular hobby
listening that actually go all the way down to 10 khz? with digital frequency
readout.