56506240 has 64 divisors (see below), whose sum is σ = 154395360. Its totient is φ = 19372032.

The previous prime is 56506231. The next prime is 56506253. The reversal of 56506240 is 4260565.

56506240 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 56506199 and 56506208.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1827 + ... + 10786.

Almost surely, 2^56506240 is an apocalyptic number.

It is an amenable number.

56506240 is an abundant number, since it is smaller than the sum of its proper divisors (97889120).

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

56506240 is a wasteful number, since it uses less digits than its factorization.

56506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12639 (or 12627 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 56506240 is about 7517.0632563522. The cubic root of 56506240 is about 383.7356398054.

The spelling of 56506240 in words is "fifty-six million, five hundred six thousand, two hundred forty".