23413824 has 84 divisors (see below), whose sum is σ = 76712064. Its totient is φ = 6688512.

The previous prime is 23413799. The next prime is 23413843. The reversal of 23413824 is 42831432.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1129 + ... + 6935.

Almost surely, 2^23413824 is an apocalyptic number.

23413824 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 23413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38356032).

23413824 is an abundant number, since it is smaller than the sum of its proper divisors (53298240).

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

23413824 is a wasteful number, since it uses less digits than its factorization.

23413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 5819 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 23413824 is about 4838.7833181493. The cubic root of 23413824 is about 286.0821646008.

The spelling of 23413824 in words is "twenty-three million, four hundred thirteen thousand, eight hundred twenty-four".