56346792 has 64 divisors (see below), whose sum is σ = 145575360. Its totient is φ = 18163200.

The previous prime is 56346781. The next prime is 56346793. The reversal of 56346792 is 29764365.

56346792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56346793) 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 15 ways as a sum of consecutive naturals, for example, 170067 + ... + 170397.

It is an arithmetic number, because the mean of its divisors is an integer number (2274615).

Almost surely, 2^56346792 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 56346792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72787680).

56346792 is an abundant number, since it is smaller than the sum of its proper divisors (89228568).

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

56346792 is a wasteful number, since it uses less digits than its factorization.

56346792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 56346792 is about 7506.4500264772. The cubic root of 56346792 is about 383.3743609941.

The spelling of 56346792 in words is "fifty-six million, three hundred forty-six thousand, seven hundred ninety-two".