56345679 has 32 divisors (see below), whose sum is σ = 90417600. Its totient is φ = 34473600.

The previous prime is 56345669. The next prime is 56345689. The reversal of 56345679 is 97654365.

56345679 is a `hidden beast` number, since 5 + 634 + 5 + 6 + 7 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (56345669) and next prime (56345689).

It is not a de Polignac number, because 56345679 - 2⁵ = 56345647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56345669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80029 + ... + 80729.

It is an arithmetic number, because the mean of its divisors is an integer number (2825550).

Almost surely, 2^56345679 is an apocalyptic number.

56345679 is a deficient number, since it is larger than the sum of its proper divisors (34071921).

56345679 is a wasteful number, since it uses less digits than its factorization.

56345679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 56345679 is about 7506.3758898686. The cubic root of 56345679 is about 383.3718367542.

The spelling of 56345679 in words is "fifty-six million, three hundred forty-five thousand, six hundred seventy-nine".