56791680 has 128 divisors (see below), whose sum is σ = 197553600. Its totient is φ = 13762560.

The previous prime is 56791667. The next prime is 56791681. The reversal of 56791680 is 8619765.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56791681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19776 + ... + 22464.

Almost surely, 2^56791680 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 56791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98776800).

56791680 is an abundant number, since it is smaller than the sum of its proper divisors (140761920).

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

56791680 is a wasteful number, since it uses less digits than its factorization.

56791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 56791680 is about 7536.0254776639. The cubic root of 56791680 is about 384.3806988381.

The spelling of 56791680 in words is "fifty-six million, seven hundred ninety-one thousand, six hundred eighty".