56982900 has 144 divisors (see below), whose sum is σ = 187140800. Its totient is φ = 13271040.

The previous prime is 56982859. The next prime is 56982901. The reversal of 56982900 is 928965.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56982901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73716 + ... + 74484.

Almost surely, 2^56982900 is an apocalyptic number.

56982900 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 56982900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93570400).

56982900 is an abundant number, since it is smaller than the sum of its proper divisors (130157900).

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

56982900 is a wasteful number, since it uses less digits than its factorization.

56982900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 56982900 is about 7548.7018751571. The cubic root of 56982900 is about 384.8116242672.

The spelling of 56982900 in words is "fifty-six million, nine hundred eighty-two thousand, nine hundred".