56140008 has 64 divisors (see below), whose sum is σ = 147371520. Its totient is φ = 17798400.

The previous prime is 56139991. The next prime is 56140009. The reversal of 56140008 is 80004165.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 56140008.

It is not an unprimeable number, because it can be changed into a prime (56140009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44766 + ... + 46002.

It is an arithmetic number, because the mean of its divisors is an integer number (2302680).

Almost surely, 2^56140008 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 56140008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73685760).

56140008 is an abundant number, since it is smaller than the sum of its proper divisors (91231512).

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

56140008 is a wasteful number, since it uses less digits than its factorization.

56140008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 56140008 is about 7492.6636118272. The cubic root of 56140008 is about 382.9048112899.

The spelling of 56140008 in words is "fifty-six million, one hundred forty thousand, eight".