If you are curious to what schools consider "late" or "early" read the following taken of Ohio State's website:
If you submit your application and apply EARLY (June 1st), you will have a much better chance to be considered for an interview.
First received first reviewed.
Decisions are made concerning interviews in the order in which applications are received, completed and reviewed.
First received first completed first reviewed first interview invitations.
If you complete your application and apply LATE (in August), there is a chance that, regardless of your credentials, you will NOT be considered for an interview (see dates below).
Last received last reviewed no interview spots available no interview invitations.
According to this August may be too late, and July as you said may be towards the bottom of the pile. I'm sure most schools are the same.