56622800 has 60 divisors (see below), whose sum is σ = 146514060. Its totient is φ = 20904960.

The previous prime is 56622799. The next prime is 56622817. The reversal of 56622800 is 822665.

It can be written as a sum of positive squares in 6 ways, for example, as 20286016 + 36336784 = 4504^2 + 6028^2 .

It is a super-2 number, since 2×56622800² = 6412282959680000, which contains 22 as substring.

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, 245 + ... + 10644.

It is an arithmetic number, because the mean of its divisors is an integer number (2441901).

Almost surely, 2^56622800 is an apocalyptic number.

56622800 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 56622800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73257030).

56622800 is an abundant number, since it is smaller than the sum of its proper divisors (89891260).

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

56622800 is a wasteful number, since it uses less digits than its factorization.

56622800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10920 (or 10909 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 56622800 is about 7524.8122900176. The cubic root of 56622800 is about 383.9993127881. Note that the first 3 decimals are identical.

The spelling of 56622800 in words is "fifty-six million, six hundred twenty-two thousand, eight hundred".