56880768 has 96 divisors (see below), whose sum is σ = 175815360. Its totient is φ = 16246272.

The previous prime is 56880751. The next prime is 56880773. The reversal of 56880768 is 86708865.

It is a happy number.

56880768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17305 + ... + 20327.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^56880768 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 56880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

56880768 is an abundant number, since it is smaller than the sum of its proper divisors (118934592).

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

56880768 is a wasteful number, since it uses less digits than its factorization.

56880768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 56880768 is about 7541.9339694802. The cubic root of 56880768 is about 384.5815839999.

The spelling of 56880768 in words is "fifty-six million, eight hundred eighty thousand, seven hundred sixty-eight".