56989800 has 144 divisors (see below), whose sum is σ = 218780640. Its totient is φ = 13023360.

The previous prime is 56989769. The next prime is 56989871. The reversal of 56989800 is 898965.

56989800 is a `hidden beast` number, since 569 + 8 + 9 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10339 + ... + 14861.

It is an arithmetic number, because the mean of its divisors is an integer number (1519310).

Almost surely, 2^56989800 is an apocalyptic number.

56989800 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 56989800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109390320).

56989800 is an abundant number, since it is smaller than the sum of its proper divisors (161790840).

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

56989800 is a wasteful number, since it uses less digits than its factorization.

56989800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 56989800 is about 7549.1588935457. The cubic root of 56989800 is about 384.8271557866.

The spelling of 56989800 in words is "fifty-six million, nine hundred eighty-nine thousand, eight hundred".