857655120 has 160 divisors (see below), whose sum is σ = 3088730880. Its totient is φ = 192798720.

The previous prime is 857655103. The next prime is 857655163. The reversal of 857655120 is 21556758.

857655120 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98296 + ... + 106664.

It is an arithmetic number, because the mean of its divisors is an integer number (19304568).

Almost surely, 2^857655120 is an apocalyptic number.

857655120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857655120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544365440).

857655120 is an abundant number, since it is smaller than the sum of its proper divisors (2231075760).

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

857655120 is a wasteful number, since it uses less digits than its factorization.

857655120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8453 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The square root of 857655120 is about 29285.7494355190. The cubic root of 857655120 is about 950.1034494917.

The spelling of 857655120 in words is "eight hundred fifty-seven million, six hundred fifty-five thousand, one hundred twenty".