Pilot reported a rough running engine during cruise and a subsequent engine failure while on short final to a diversion airport.

Narrative

On Date; at about XA45 Pacific daylight time; I checked in with ZZZ Center for VFR flight following to my planned destination airport; ZZZ1. I was at my cruise altitude of 10;500 feet MSL. At approximately XA54 there was a loud bang from my engine and I immediately lost power; although the engine was still running roughly. I had smoke coming into the cockpit which smelled like hot engine oil. I [requested priority handling] with ZZZ Center and explained my situation. They asked how many souls were on board and how much fuel I had. I advised that [a passenger] and I were the only people on board and that we had just refueled at ZZZ2. Center asked what my intentions were and I stated that we were going to try and make it to ZZZ. ZZZ Center advised me to switch to ZZZ Field Tower frequency; which I did. I contacted ZZZ Tower and advised them of our situation and our intention to make it to their field. At about XB01 hours the engine stopped and I shut off the fuel and the magnetos. I advised ZZZ Tower that the engine had stopped and that I had shut off the fuel and magnetos. I was able to make an uneventful; gliding landing; at ZZZ Field at approximately XB05 hours and coasted off of the Runway onto Taxiway 1. My [passenger] and I got out of our airplane and looked under the cowling and noticed internal pieces of our engine sitting on top of the exterior of the engine. There were no injuries and there was no other damage to the aircraft other than the ruptured engine.