56990800 has 120 divisors (see below), whose sum is σ = 150492600. Its totient is φ = 20715520.

The previous prime is 56990761. The next prime is 56990809. The reversal of 56990800 is 809965.

It can be written as a sum of positive squares in 12 ways, for example, as 11778624 + 45212176 = 3432^2 + 6724^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56990800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56990809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1965186 + ... + 1965214.

It is an arithmetic number, because the mean of its divisors is an integer number (1254105).

Almost surely, 2^56990800 is an apocalyptic number.

56990800 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 56990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75246300).

56990800 is an abundant number, since it is smaller than the sum of its proper divisors (93501800).

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

56990800 is a wasteful number, since it uses less digits than its factorization.

56990800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 56990800 is about 7549.2251257993. The cubic root of 56990800 is about 384.8294066274.

The spelling of 56990800 in words is "fifty-six million, nine hundred ninety thousand, eight hundred".