56768640 has 64 divisors (see below), whose sum is σ = 180956160. Its totient is φ = 15137792.

The previous prime is 56768611. The next prime is 56768683. The reversal of 56768640 is 4686765.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 56768592 and 56768601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12864 + ... + 16703.

It is an arithmetic number, because the mean of its divisors is an integer number (2827440).

Almost surely, 2^56768640 is an apocalyptic number.

It is an amenable number.

56768640 is an abundant number, since it is smaller than the sum of its proper divisors (124187520).

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

56768640 is a wasteful number, since it uses less digits than its factorization.

56768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29589 (or 29577 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 56768640 is about 7534.4966653387. The cubic root of 56768640 is about 384.3287115916.

The spelling of 56768640 in words is "fifty-six million, seven hundred sixty-eight thousand, six hundred forty".