56758968 has 192 divisors, whose sum is σ = 188348160. Its totient is φ = 15676416.

The previous prime is 56758957. The next prime is 56758973. The reversal of 56758968 is 86985765.

56758968 is a `hidden beast` number, since 56 + 7 + 589 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3628800) is a multiple of the sum of its prime factors (168).

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 47 ways as a sum of consecutive naturals, for example, 585096 + ... + 585192.

It is an arithmetic number, because the mean of its divisors is an integer number (980980).

Almost surely, 2^56758968 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 56758968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94174080).

56758968 is an abundant number, since it is smaller than the sum of its proper divisors (131589192).

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

56758968 is a wasteful number, since it uses less digits than its factorization.

56758968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 56758968 is about 7533.8547902120. The cubic root of 56758968 is about 384.3068835869.

The spelling of 56758968 in words is "fifty-six million, seven hundred fifty-eight thousand, nine hundred sixty-eight".