23613264 has 30 divisors (see below), whose sum is σ = 66084746. Its totient is φ = 7871040.

The previous prime is 23613259. The next prime is 23613269. The reversal of 23613264 is 46231632.

23613264 is a `hidden beast` number, since 23 + 613 + 26 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (23613259) and next prime (23613269).

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 1710864 = 4680^2 + 1308^2 .

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 (23613269) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 81847 + ... + 82134.

Almost surely, 2^23613264 is an apocalyptic number.

23613264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23613264 is an abundant number, since it is smaller than the sum of its proper divisors (42471482).

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

23613264 is a wasteful number, since it uses less digits than its factorization.

23613264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163995 (or 163986 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 23613264 is about 4859.3481044272. The cubic root of 23613264 is about 286.8921559791.

Adding to 23613264 its reverse (46231632), we get a palindrome (69844896).

It can be divided in two parts, 236132 and 64, that added together give a square (236196 = 486²).

The spelling of 23613264 in words is "twenty-three million, six hundred thirteen thousand, two hundred sixty-four".