We need to know where you are, and what angles the radio AND/or antenna, if seperate, are.
DX antennas must be aligined if possible to favor the desired signal, but in some cases, must be positioned to best null
an undesired signal. Beyond that, the coupling angle of antenna to radio and distance is very important.
I'm assuming a non wired-antenna.
If you go crazy with variable angle tuned loose couplers and tuneable notch filters you can read signals through mud!
Antique Electronic Supply in Tempe, AZ, has some very inexpensive AM notch kits.
If 1560 went IBOC, none of the above is any help. First help stop IBOC on AM by any means possible.