Due to the exponential increase in the number of IoT connected objects, limited resource constraints and dynamic topology in IoT networks, routing of these connected nodes on the wireless networks faces several challenges and issues that need to be addressed. IoT routing protocols must be able to efficiently transmit data while meeting certain performance criteria. On the other hand, intelligent computing methods hold great promise for solving the most difficult problems in all areas. In this article, we list existing works that takes advantage of artificial intelligence methods to overcome the challenges of IoT routing. We examine them in terms of performance criteria such as energy efficiency, security, transmission delay, reliability, etc. Next, we classify IoT routing protocols according to different criteria. Finally, we present the major challenges of IoT routing, which still require solutions to be developed.