24564 has 24 divisors (see below), whose sum is σ = 60480. Its totient is φ = 7744.

The previous prime is 24551. The next prime is 24571. The reversal of 24564 is 46542.

24564 = 21² + 22² + ... + 43².

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 24564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 320.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

24564 is a Friedman number, since it can be written as 6*(4*4^5-2), using all its digits and the basic arithmetic operations.

2²⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

24564 is an abundant number, since it is smaller than the sum of its proper divisors (35916).

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

24564 is a wasteful number, since it uses less digits than its factorization.

24564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 117 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 24564 is about 156.7290655877. The cubic root of 24564 is about 29.0691966300.

The spelling of 24564 in words is "twenty-four thousand, five hundred sixty-four".