856856560 has 80 divisors (see below), whose sum is σ = 2288996352. Its totient is φ = 292204800.

The previous prime is 856856557. The next prime is 856856563. The reversal of 856856560 is 65658658.

856856560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (856856557) and next prime (856856563).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856856563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102955 + ... + 110965.

Almost surely, 2^856856560 is an apocalyptic number.

856856560 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 856856560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144498176).

856856560 is an abundant number, since it is smaller than the sum of its proper divisors (1432139792).

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

856856560 is a wasteful number, since it uses less digits than its factorization.

856856560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8222 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

The square root of 856856560 is about 29272.1123255566. The cubic root of 856856560 is about 949.8084784737.

The spelling of 856856560 in words is "eight hundred fifty-six million, eight hundred fifty-six thousand, five hundred sixty".