56079504 has 120 divisors (see below), whose sum is σ = 175014840. Its totient is φ = 16644096.

The previous prime is 56079503. The next prime is 56079521. The reversal of 56079504 is 40597065.

56079504 is a `hidden beast` number, since 560 + 7 + 95 + 0 + 4 = 666.

56079504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 42771600 = 3648^2 + 6540^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (56079503) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53772 + ... + 54804.

It is an arithmetic number, because the mean of its divisors is an integer number (1458457).

Almost surely, 2^56079504 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 56079504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87507420).

56079504 is an abundant number, since it is smaller than the sum of its proper divisors (118935336).

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

56079504 is a wasteful number, since it uses less digits than its factorization.

56079504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56079504 is about 7488.6249739188. The cubic root of 56079504 is about 382.7672053220.

The spelling of 56079504 in words is "fifty-six million, seventy-nine thousand, five hundred four".