56792016 has 90 divisors (see below), whose sum is σ = 165348482. Its totient is φ = 18895680.

The previous prime is 56792009. The next prime is 56792017. The reversal of 56792016 is 61029765.

56792016 is a `hidden beast` number, since 567 + 92 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 10497600 = 6804^2 + 3240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56792017) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104706 + ... + 105246.

Almost surely, 2^56792016 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 56792016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82674241).

56792016 is an abundant number, since it is smaller than the sum of its proper divisors (108556466).

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

56792016 is an frugal number, since it uses more digits than its factorization.

56792016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 56792016 is about 7536.0477705492. The cubic root of 56792016 is about 384.3814568814.

The spelling of 56792016 in words is "fifty-six million, seven hundred ninety-two thousand, sixteen".