Subtracting from 5664 its reverse (4665), we obtain a palindrome (999).
It is a tau number, because it is divible by the number of its divisors (24).
5664 is a Rhonda number in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 5664.
5664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5664 is a wasteful number, since it uses less digits than its factorization.
5664 is an evil number, because the sum of its binary digits is even.
The square root of 5664 is about 75.2595508889. The cubic root of 5664 is about 17.8254737738.
The spelling of 5664 in words is "five thousand, six hundred sixty-four".