56877600 has 144 divisors (see below), whose sum is σ = 199487232. Its totient is φ = 13992960.

The previous prime is 56877553. The next prime is 56877637. The reversal of 56877600 is 677865.

It is a super-2 number, since 2×56877600² = 6470122763520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30289 + ... + 32111.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^56877600 is an apocalyptic number.

56877600 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 56877600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99743616).

56877600 is an abundant number, since it is smaller than the sum of its proper divisors (142609632).

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

56877600 is a wasteful number, since it uses less digits than its factorization.

56877600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 56877600 is about 7541.7239408507. The cubic root of 56877600 is about 384.5744440525.

The spelling of 56877600 in words is "fifty-six million, eight hundred seventy-seven thousand, six hundred".