56796000 has 96 divisors (see below), whose sum is σ = 186103008. Its totient is φ = 15142400.

The previous prime is 56795983. The next prime is 56796017. The reversal of 56796000 is 69765.

It is an interprime number because it is at equal distance from previous prime (56795983) and next prime (56796017).

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 9634 + ... + 14366.

It is an arithmetic number, because the mean of its divisors is an integer number (1938573).

Almost surely, 2^56796000 is an apocalyptic number.

56796000 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 56796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93051504).

56796000 is an abundant number, since it is smaller than the sum of its proper divisors (129307008).

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

56796000 is a wasteful number, since it uses less digits than its factorization.

56796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 56796000 is about 7536.3120954483. The cubic root of 56796000 is about 384.3904448814.

The spelling of 56796000 in words is "fifty-six million, seven hundred ninety-six thousand".