56382120 has 96 divisors (see below), whose sum is σ = 192909600. Its totient is φ = 14242176.

The previous prime is 56382107. The next prime is 56382133. The reversal of 56382120 is 2128365.

56382120 is a `hidden beast` number, since 5 + 638 + 2 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (56382107) and next prime (56382133).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2719 + ... + 10961.

It is an arithmetic number, because the mean of its divisors is an integer number (2009475).

Almost surely, 2^56382120 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 56382120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96454800).

56382120 is an abundant number, since it is smaller than the sum of its proper divisors (136527480).

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

56382120 is a wasteful number, since it uses less digits than its factorization.

56382120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8279 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56382120 is about 7508.8028340076. The cubic root of 56382120 is about 383.4544662340.

The spelling of 56382120 in words is "fifty-six million, three hundred eighty-two thousand, one hundred twenty".