63564 has 12 divisors (see below), whose sum is σ = 148344. Its totient is φ = 21184.

The previous prime is 63559. The next prime is 63577. The reversal of 63564 is 46536.

63564 = 80² + 81² + ... + 88².

63564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2637 + ... + 2660.

It is an arithmetic number, because the mean of its divisors is an integer number (12362).

2⁶³⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

63564 is an abundant number, since it is smaller than the sum of its proper divisors (84780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74172).

63564 is a wasteful number, since it uses less digits than its factorization.

63564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5304 (or 5302 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 63564 is about 252.1190195126. The cubic root of 63564 is about 39.9089596151.

It can be divided in two parts, 6 and 3564, that added together give a triangular number (3570 = T₈₄).

The spelling of 63564 in words is "sixty-three thousand, five hundred sixty-four".