23520400 has 60 divisors (see below), whose sum is σ = 57075712. Its totient is φ = 9313920.

The previous prime is 23520349. The next prime is 23520403. The reversal of 23520400 is 402532.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23520403) 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 11 ways as a sum of consecutive naturals, for example, 50569 + ... + 51031.

Almost surely, 2^23520400 is an apocalyptic number.

23520400 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 23520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28537856).

23520400 is an abundant number, since it is smaller than the sum of its proper divisors (33555312).

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

23520400 is a wasteful number, since it uses less digits than its factorization.

23520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 23520400 is about 4849.7835003225. The cubic root of 23520400 is about 286.5155744858.

Adding to 23520400 its reverse (402532), we get a palindrome (23922932).

The spelling of 23520400 in words is "twenty-three million, five hundred twenty thousand, four hundred".