856410016 has 192 divisors, whose sum is σ = 2203407360. Its totient is φ = 318044160.

The previous prime is 856410001. The next prime is 856410073. The reversal of 856410016 is 610014658.

It is a self number, because there is not a number n which added to its sum of digits gives 856410016.

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, 6251100 + ... + 6251236.

It is an arithmetic number, because the mean of its divisors is an integer number (11476080).

Almost surely, 2^856410016 is an apocalyptic number.

856410016 is a gapful number since it is divisible by the number (86) 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 856410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101703680).

856410016 is an abundant number, since it is smaller than the sum of its proper divisors (1346997344).

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

856410016 is a wasteful number, since it uses less digits than its factorization.

856410016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 856410016 is about 29264.4838669675. The cubic root of 856410016 is about 949.6434547518.

The spelling of 856410016 in words is "eight hundred fifty-six million, four hundred ten thousand, sixteen".