5664 has 24 divisors (see below), whose sum is σ = 15120. Its totient is φ = 1856.

The previous prime is 5659. The next prime is 5669. The reversal of 5664 is 4665.

It is an interprime number because it is at equal distance from previous prime (5659) and next prime (5669).

It is a tau number, because it is divible by the number of its divisors (24).

5664 is a Rhonda number in base 10.

Its product of digits (720) is a multiple of the sum of its prime factors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5664.

It is not an unprimeable number, because it can be changed into a prime (5669) by changing a digit.

5664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67 + ... + 125.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

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).

5664 is an abundant number, since it is smaller than the sum of its proper divisors (9456).

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 sum of its prime factors is 72 (or 64 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 5664 is about 75.2595508889. The cubic root of 5664 is about 17.8254737738.

Subtracting from 5664 its reverse (4665), we obtain a palindrome (999).

It can be divided in two parts, 56 and 64, that added together give a triangular number (120 = T₁₅).

The spelling of 5664 in words is "five thousand, six hundred sixty-four".