56376000 has 336 divisors, whose sum is σ = 216347040. Its totient is φ = 14515200.

The previous prime is 56375993. The next prime is 56376041. The reversal of 56376000 is 67365.

56376000 is a `hidden beast` number, since 56 + 3 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943986 + ... + 1944014.

It is an arithmetic number, because the mean of its divisors is an integer number (643890).

Almost surely, 2^56376000 is an apocalyptic number.

56376000 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 56376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108173520).

56376000 is an abundant number, since it is smaller than the sum of its proper divisors (159971040).

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

56376000 is an equidigital number, since it uses as much as digits as its factorization.

56376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 56376000 is about 7508.3953012611. The cubic root of 56376000 is about 383.4405917040.

The spelling of 56376000 in words is "fifty-six million, three hundred seventy-six thousand".