56540792 has 64 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 21882240.

The previous prime is 56540791. The next prime is 56540801. The reversal of 56540792 is 29704565.

It is a happy number.

It is a super-2 number, since 2×56540792² = 6393722319974528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56540791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161834 + ... + 162182.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 2^56540792 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 56540792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528000).

56540792 is an abundant number, since it is smaller than the sum of its proper divisors (76515208).

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

56540792 is a wasteful number, since it uses less digits than its factorization.

56540792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 56540792 is about 7519.3611430759. The cubic root of 56540792 is about 383.8138384390.

The spelling of 56540792 in words is "fifty-six million, five hundred forty thousand, seven hundred ninety-two".