52368800 has 108 divisors (see below), whose sum is σ = 140783958. Its totient is φ = 19008000.

The previous prime is 52368793. The next prime is 52368821. The reversal of 52368800 is 886325.

It can be written as a sum of positive squares in 3 ways, for example, as 36336784 + 16032016 = 6028^2 + 4004^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96530 + ... + 97070.

Almost surely, 2^52368800 is an apocalyptic number.

52368800 is a gapful number since it is divisible by the number (50) 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 52368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70391979).

52368800 is an abundant number, since it is smaller than the sum of its proper divisors (88415158).

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

52368800 is a wasteful number, since it uses less digits than its factorization.

52368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 52368800 is about 7236.6290494954. The cubic root of 52368800 is about 374.1314416889.

The spelling of 52368800 in words is "fifty-two million, three hundred sixty-eight thousand, eight hundred".