A typical function of a router in a network is to manage data traffic between devices by directing packets of information. It ensures that data is sent to the correct IP address and connects multiple devices to the internet. Routers operate at the network layer of the OSI model and can perform network address translation (NAT) and firewall functions to secure the network. They facilitate both wired and wireless connectivity, enabling shared access within local area networks (LANs) and extended connections to the internet.