56983680 has 192 divisors, whose sum is σ = 212186520. Its totient is φ = 14008320.

The previous prime is 56983657. The next prime is 56983681. The reversal of 56983680 is 8638965.

56983680 is a `hidden beast` number, since 569 + 8 + 3 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15303744 + 41679936 = 3912^2 + 6456^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56983681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74500 + ... + 75260.

Almost surely, 2^56983680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106093260).

56983680 is an abundant number, since it is smaller than the sum of its proper divisors (155202840).

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

56983680 is a wasteful number, since it uses less digits than its factorization.

56983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 56983680 is about 7548.7535394925. The cubic root of 56983680 is about 384.8133800670.

The spelling of 56983680 in words is "fifty-six million, nine hundred eighty-three thousand, six hundred eighty".