Yes, it runs hot. I had an Rotel 1068 before. It is highly recommended that not to put it in an closed or semi closed entertainment cabinet. An open audio equipment shelf is a must.
The Rotel 1068 is a wonderful sounding piece by today's standard and you can get it at very good price this day. I got rid of it because I wanted HDMI switching capability. I have been using a Emotiva UMC-1 which runs much cooler. I have an used Rotel 1570 on its way.