56509040 has 160 divisors (see below), whose sum is σ = 162846720. Its totient is φ = 17805312.

The previous prime is 56508989. The next prime is 56509043. The reversal of 56509040 is 4090565.

It is a junction number, because it is equal to n+sod(n) for n = 56508994 and 56509012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56509043) 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, 500024 + ... + 500136.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 2^56509040 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 56509040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

56509040 is an abundant number, since it is smaller than the sum of its proper divisors (106337680).

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

56509040 is a wasteful number, since it uses less digits than its factorization.

56509040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 56509040 is about 7517.2494969902. The cubic root of 56509040 is about 383.7419779965.

The spelling of 56509040 in words is "fifty-six million, five hundred nine thousand, forty".