5556800 has 84 divisors (see below), whose sum is σ = 14362176. Its totient is φ = 2112000.

The previous prime is 5556791. The next prime is 5556821. The reversal of 5556800 is 86555.

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, 36725 + ... + 36875.

Almost surely, 2^5556800 is an apocalyptic number.

5556800 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 5556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181088).

5556800 is an abundant number, since it is smaller than the sum of its proper divisors (8805376).

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

5556800 is a wasteful number, since it uses less digits than its factorization.

5556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 5556800 is about 2357.2865757052. The cubic root of 5556800 is about 177.1229847387.

The spelling of 5556800 in words is "five million, five hundred fifty-six thousand, eight hundred".