There are a few reasons why your water softener might keep running even when it's unplugged. One possibility is that the unit isn't properly grounded. Another possibility is that the power switch is faulty. If you're not sure what's causing the problem, you should consult a qualified technician for help. You may also have faulty water softener parts such as the shower head. In this case, investing in the best water softener for shower will help avoid future problems with your water softener.