56759040 has 216 divisors, whose sum is σ = 212044560. Its totient is φ = 13934592.

The previous prime is 56759029. The next prime is 56759057. The reversal of 56759040 is 4095765.

56759040 is a `hidden beast` number, since 5 + 67 + 590 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56758986 and 56759004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149571 + ... + 149949.

Almost surely, 2^56759040 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 56759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106022280).

56759040 is an abundant number, since it is smaller than the sum of its proper divisors (155285520).

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

56759040 is a wasteful number, since it uses less digits than its factorization.

56759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

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

The square root of 56759040 is about 7533.8595686408. The cubic root of 56759040 is about 384.3070460874.

The spelling of 56759040 in words is "fifty-six million, seven hundred fifty-nine thousand, forty".