56626900 has 36 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 20591200.

The previous prime is 56626883. The next prime is 56626907. The reversal of 56626900 is 962665.

It is a super-2 number, since 2×56626900² = 6413211607220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56626907) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24640 + ... + 26839.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2^56626900 is an apocalyptic number.

56626900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56626900 is an abundant number, since it is smaller than the sum of its proper divisors (77427020).

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

56626900 is a wasteful number, since it uses less digits than its factorization.

56626900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51504 (or 51497 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 56626900 is about 7525.0847171311. The cubic root of 56626900 is about 384.0085808991.

The spelling of 56626900 in words is "fifty-six million, six hundred twenty-six thousand, nine hundred".