56991100 has 72 divisors (see below), whose sum is σ = 129363248. Its totient is φ = 21772800.

The previous prime is 56991097. The next prime is 56991131. The reversal of 56991100 is 119965.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269995 + ... + 270205.

Almost surely, 2^56991100 is an apocalyptic number.

56991100 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 56991100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64681624).

56991100 is an abundant number, since it is smaller than the sum of its proper divisors (72372148).

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

56991100 is a wasteful number, since it uses less digits than its factorization.

56991100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 31.

The square root of 56991100 is about 7549.2449953621. The cubic root of 56991100 is about 384.8300818745.

The spelling of 56991100 in words is "fifty-six million, nine hundred ninety-one thousand, one hundred".