23257600 has 120 divisors (see below), whose sum is σ = 60888960. Its totient is φ = 8785920.

The previous prime is 23257583. The next prime is 23257603. The reversal of 23257600 is 675232.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23257603) 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, 294361 + ... + 294439.

It is an arithmetic number, because the mean of its divisors is an integer number (507408).

Almost surely, 2^23257600 is an apocalyptic number.

23257600 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 23257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30444480).

23257600 is an abundant number, since it is smaller than the sum of its proper divisors (37631360).

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

23257600 is an equidigital number, since it uses as much as digits as its factorization.

23257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 23257600 is about 4822.6133993925. The cubic root of 23257600 is about 285.4444690862. Note that the first 4 decimals are identical.

The spelling of 23257600 in words is "twenty-three million, two hundred fifty-seven thousand, six hundred".