56241920 has 72 divisors (see below), whose sum is σ = 153986784. Its totient is φ = 19279872.

The previous prime is 56241883. The next prime is 56241943. The reversal of 56241920 is 2914265.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5822 + ... + 12098.

Almost surely, 2^56241920 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 56241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76993392).

56241920 is an abundant number, since it is smaller than the sum of its proper divisors (97744864).

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

56241920 is an equidigital number, since it uses as much as digits as its factorization.

56241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 56241920 is about 7499.4613139878. The cubic root of 56241920 is about 383.1363693028.

The spelling of 56241920 in words is "fifty-six million, two hundred forty-one thousand, nine hundred twenty".