23807264 has 48 divisors (see below), whose sum is σ = 50944320. Its totient is φ = 10886400.

The previous prime is 23807249. The next prime is 23807269. The reversal of 23807264 is 46270832.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 23807264.

It is not an unprimeable number, because it can be changed into a prime (23807269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62627 + ... + 63005.

It is an arithmetic number, because the mean of its divisors is an integer number (1061340).

Almost surely, 2^23807264 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 23807264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25472160).

23807264 is an abundant number, since it is smaller than the sum of its proper divisors (27137056).

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

23807264 is a wasteful number, since it uses less digits than its factorization.

23807264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 23807264 is about 4879.2687976786. The cubic root of 23807264 is about 287.6756894648.

The spelling of 23807264 in words is "twenty-three million, eight hundred seven thousand, two hundred sixty-four".