23913600 has 192 divisors, whose sum is σ = 81959040. Its totient is φ = 6123520.

The previous prime is 23913599. The next prime is 23913601. The reversal of 23913600 is 631932.

It is an interprime number because it is at equal distance from previous prime (23913599) and next prime (23913601).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23913601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451174 + ... + 451226.

It is an arithmetic number, because the mean of its divisors is an integer number (426870).

Almost surely, 2^23913600 is an apocalyptic number.

23913600 is a gapful number since it is divisible by the number (20) 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 23913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979520).

23913600 is an abundant number, since it is smaller than the sum of its proper divisors (58045440).

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

23913600 is a wasteful number, since it uses less digits than its factorization.

23913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 23913600 is about 4890.1533718279. The cubic root of 23913600 is about 288.1033579640.

The spelling of 23913600 in words is "twenty-three million, nine hundred thirteen thousand, six hundred".