56656600 has 192 divisors, whose sum is σ = 177488640. Its totient is φ = 16243200.

The previous prime is 56656591. The next prime is 56656603. The reversal of 56656600 is 665665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56656603) 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, 200059 + ... + 200341.

It is an arithmetic number, because the mean of its divisors is an integer number (924420).

Almost surely, 2^56656600 is an apocalyptic number.

56656600 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 56656600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88744320).

56656600 is an abundant number, since it is smaller than the sum of its proper divisors (120832040).

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

56656600 is a wasteful number, since it uses less digits than its factorization.

56656600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 56656600 is about 7527.0578581541. The cubic root of 56656600 is about 384.0757048367.

It can be divided in two parts, 566 and 56600, that multiplied together give a square (32035600 = 5660²).

The spelling of 56656600 in words is "fifty-six million, six hundred fifty-six thousand, six hundred".