56268120 has 256 divisors, whose sum is σ = 196992000. Its totient is φ = 12773376.

The previous prime is 56268103. The next prime is 56268127. The reversal of 56268120 is 2186265.

56268120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56268120² = 6332202656668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56268127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1520742 + ... + 1520778.

It is an arithmetic number, because the mean of its divisors is an integer number (769500).

Almost surely, 2^56268120 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 56268120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98496000).

56268120 is an abundant number, since it is smaller than the sum of its proper divisors (140723880).

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

56268120 is a wasteful number, since it uses less digits than its factorization.

56268120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 56268120 is about 7501.2079027314. The cubic root of 56268120 is about 383.1958540818.

The spelling of 56268120 in words is "fifty-six million, two hundred sixty-eight thousand, one hundred twenty".