556800 has 108 divisors (see below), whose sum is σ = 1900920. Its totient is φ = 143360.

The previous prime is 556799. The next prime is 556811. The reversal of 556800 is 8655.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19186 + ... + 19214.

2⁵⁵⁶⁸⁰⁰ is an apocalyptic number.

556800 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 556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950460).

556800 is an abundant number, since it is smaller than the sum of its proper divisors (1344120).

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

556800 is a wasteful number, since it uses less digits than its factorization.

556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 556800 is about 746.1903242471. The cubic root of 556800 is about 82.2684046482.

556800 divided by its product of nonzero digits (1200) gives a palindrome (464).

The spelling of 556800 in words is "five hundred fifty-six thousand, eight hundred".