56759940 has 168 divisors, whose sum is σ = 190050840. Its totient is φ = 14183424.

The previous prime is 56759939. The next prime is 56759953. The reversal of 56759940 is 4995765.

It is a happy number.

56759940 is a `hidden beast` number, since 56 + 7 + 599 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25220484 + 31539456 = 5022^2 + 5616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 247746 + ... + 247974.

It is an arithmetic number, because the mean of its divisors is an integer number (1131255).

Almost surely, 2^56759940 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 56759940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95025420).

56759940 is an abundant number, since it is smaller than the sum of its proper divisors (133290900).

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

56759940 is a wasteful number, since it uses less digits than its factorization.

56759940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 56759940 is about 7533.9192987448. The cubic root of 56759940 is about 384.3090773322.

The spelling of 56759940 in words is "fifty-six million, seven hundred fifty-nine thousand, nine hundred forty".