Deep space is an area that requires the maximum amount of aperture with a wide-field view. These are not present with the PowerSeeker 60AZ. Although you can get some detail from the Pleiades and some of the brighter star clusters, the deep space performance of PowerSeeker 60AZ is below-average for its price. A tabletop Dobsonian would be a better choice for deep space.
Overall PowerSeeker 60AZ has great Lunar, average planetary, and below-average deep space performance. Considering the price tag, I would say the optics are more than sufficient.
I have to remind you that at this price range, the slightest increase in the aperture makes a huge difference. PowerSeeker 70AZ, for example, has %36 more light gathering ability. The images it is able to provide are %36 better. It is almost the same as the difference between a 480p video and a 720p video. So try to stretch your budget as much as you can for higher apertures, you won’t be disappointed.