856815960 has 384 divisors, whose sum is σ = 3516307200. Its totient is φ = 164183040.

The previous prime is 856815959. The next prime is 856815977. The reversal of 856815960 is 69518658.

856815960 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 95 ways as a sum of consecutive naturals, for example, 840331 + ... + 841349.

It is an arithmetic number, because the mean of its divisors is an integer number (9157050).

Almost surely, 2^856815960 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 856815960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758153600).

856815960 is an abundant number, since it is smaller than the sum of its proper divisors (2659491240).

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

856815960 is a wasteful number, since it uses less digits than its factorization.

856815960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 856815960 is about 29271.4188245121. The cubic root of 856815960 is about 949.7934768056.

It can be divided in two parts, 856815 and 960, that multiplied together give a square (822542400 = 28680²).

The spelling of 856815960 in words is "eight hundred fifty-six million, eight hundred fifteen thousand, nine hundred sixty".