57856120 has 64 divisors (see below), whose sum is σ = 150036480. Its totient is φ = 19668096.

The previous prime is 57856111. The next prime is 57856153. The reversal of 57856120 is 2165875.

57856120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 34747 + ... + 36373.

It is an arithmetic number, because the mean of its divisors is an integer number (2344320).

Almost surely, 2^57856120 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 57856120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75018240).

57856120 is an abundant number, since it is smaller than the sum of its proper divisors (92180360).

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

57856120 is a wasteful number, since it uses less digits than its factorization.

57856120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 57856120 is about 7606.3210555432. The cubic root of 57856120 is about 386.7673175685.

The spelling of 57856120 in words is "fifty-seven million, eight hundred fifty-six thousand, one hundred twenty".