Currently there are 16 native Standard Zoom lenses for Nikon D600 and all of these lenses are autofocus (AF) type.
Nikon D600 doesn't have a sensor based image stabilization system but 8 of these Standard Zoom lenses features optical image stabilization.
Since Nikon D600 has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 6 Standard Zoom lenses with Weather Sealings.