856286960 has 80 divisors (see below), whose sum is σ = 2066891520. Its totient is φ = 329564160.

The previous prime is 856286953. The next prime is 856286971. The reversal of 856286960 is 69682658.

856286960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 856286899 and 856286908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477746 + ... + 479534.

It is an arithmetic number, because the mean of its divisors is an integer number (25836144).

Almost surely, 2^856286960 is an apocalyptic number.

856286960 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 856286960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033445760).

856286960 is an abundant number, since it is smaller than the sum of its proper divisors (1210604560).

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

856286960 is a wasteful number, since it uses less digits than its factorization.

856286960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The square root of 856286960 is about 29262.3813111647. The cubic root of 856286960 is about 949.5979683919.

The spelling of 856286960 in words is "eight hundred fifty-six million, two hundred eighty-six thousand, nine hundred sixty".