56253840 has 80 divisors (see below), whose sum is σ = 180036096. Its totient is φ = 14515200.

The previous prime is 56253817. The next prime is 56253913. The reversal of 56253840 is 4835265.

56253840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 3660 + ... + 11220.

Almost surely, 2^56253840 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 56253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90018048).

56253840 is an abundant number, since it is smaller than the sum of its proper divisors (123782256).

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

56253840 is a wasteful number, since it uses less digits than its factorization.

56253840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7608 (or 7602 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 56253840 is about 7500.2559956311. The cubic root of 56253840 is about 383.1634348968.

The spelling of 56253840 in words is "fifty-six million, two hundred fifty-three thousand, eight hundred forty".