23991264 has 72 divisors (see below), whose sum is σ = 74437272. Its totient is φ = 7269120.

The previous prime is 23991263. The next prime is 23991283. The reversal of 23991264 is 46219932.

23991264 is a `hidden beast` number, since 2 + 399 + 1 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23991263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619 + ... + 6954.

It is an arithmetic number, because the mean of its divisors is an integer number (1033851).

Almost surely, 2^23991264 is an apocalyptic number.

23991264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23991264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37218636).

23991264 is an abundant number, since it is smaller than the sum of its proper divisors (50446008).

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

23991264 is a wasteful number, since it uses less digits than its factorization.

23991264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7600 (or 7589 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 23991264 is about 4898.0877901483. The cubic root of 23991264 is about 288.4149112246.

It can be divided in two parts, 2399 and 1264, that added together give a palindrome (3663).

The spelling of 23991264 in words is "twenty-three million, nine hundred ninety-one thousand, two hundred sixty-four".