56929600 has 336 divisors, whose sum is σ = 190487808. Its totient is φ = 16220160.

The previous prime is 56929597. The next prime is 56929601. The reversal of 56929600 is 692965.

56929600 = 60³ + 61³ + ... + 124³.

It is a happy number.

It is a super-3 number, since 3×56929600³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56929600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56929601) 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 47 ways as a sum of consecutive naturals, for example, 2475189 + ... + 2475211.

It is an arithmetic number, because the mean of its divisors is an integer number (566928).

Almost surely, 2^56929600 is an apocalyptic number.

56929600 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 56929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95243904).

56929600 is an abundant number, since it is smaller than the sum of its proper divisors (133558208).

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

56929600 is a wasteful number, since it uses less digits than its factorization.

56929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 56929600 is about 7545.1706408802. The cubic root of 56929600 is about 384.6916066371.

The spelling of 56929600 in words is "fifty-six million, nine hundred twenty-nine thousand, six hundred".