23245600 has 108 divisors (see below), whose sum is σ = 66124674. Its totient is φ = 7956480.

The previous prime is 23245597. The next prime is 23245601. The reversal of 23245600 is 654232.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 18352656 + 4892944 = 4284^2 + 2212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23245601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38904 + ... + 39496.

Almost surely, 2^23245600 is an apocalyptic number.

23245600 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 23245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33062337).

23245600 is an abundant number, since it is smaller than the sum of its proper divisors (42879074).

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

23245600 is a wasteful number, since it uses less digits than its factorization.

23245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 23245600 is about 4821.3691001623. The cubic root of 23245600 is about 285.3953679621.

Adding to 23245600 its reverse (654232), we get a palindrome (23899832).

The spelling of 23245600 in words is "twenty-three million, two hundred forty-five thousand, six hundred".