52860800 has 48 divisors (see below), whose sum is σ = 130590600. Its totient is φ = 21143040.

The previous prime is 52860799. The next prime is 52860811. The reversal of 52860800 is 806825.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5060 + ... + 11459.

Almost surely, 2^52860800 is an apocalyptic number.

52860800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52860800 is an abundant number, since it is smaller than the sum of its proper divisors (77729800).

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

52860800 is a wasteful number, since it uses less digits than its factorization.

52860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16543 (or 16526 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 52860800 is about 7270.5433084468. The cubic root of 52860800 is about 375.2994349137.

The spelling of 52860800 in words is "fifty-two million, eight hundred sixty thousand, eight hundred".