While you can run Routines on any Echo device, the best hub to do this with is the Echo Show (the original 10-inch version or the new Echo Show 10, not the 5-inch or 8-inch models).
Which echoes have built-in Hub?
The all-new Echo Show and Echo Plus include a built-in smart home hub that seamlessly connects and controls Zigbee smart devices, such as light bulbs, door locks, in-wall switches, sensors, and plugs, without the need for separate hubs or a smart home skill.
Does my Echo have a hub?
Yes. The second-generation Echo Show is a smart home hub. The Echo Show has Zigbee built-in so that you are able to connect your smart home devices to the Show. The second-generation Amazon Echo Show is capable of working with different apps that will connect you to all of your smart devices.