Take the pleasant 3km walk (or hop the cable car) from town to the summit of this hill, which boasts the ruins of an 11th-century fortress built by Heinrich IV. From there you can stroll around the fortress ruins or set out on longer hikes or mountain-bike rides.
From here, the Kaiserweg trail leads to Torfhaus and connects to the Brocken. If snow conditions are good, it’s possible to ski cross-country to/from Torfhaus, which has equipment-hire facilities.