In Windows 10 v 1607, if you right-click on the Notifications Center located in the extreme right side of the Taskbar, you will get to see the following menu options:

  1. Open Action Center
  2. Open Quiet Hours
  3. Don't show app icons
  4. Don't show number of new notifications

By default, Windows 10 has been configured to show app icons and the number of new notifications.

But if you do not wish to show app icons & the number of new notifications in the Notification Center Taskbar icon, you may simply uncheck these options.