856290816 has 180 divisors, whose sum is σ = 2629318692. Its totient is φ = 268222464.

The previous prime is 856290797. The next prime is 856290817. The reversal of 856290816 is 618092658.

856290816 is a `hidden beast` number, since 8 + 5 + 629 + 0 + 8 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856290817) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1331391 + ... + 1332033.

Almost surely, 2^856290816 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 856290816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314659346).

856290816 is an abundant number, since it is smaller than the sum of its proper divisors (1773027876).

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

856290816 is a wasteful number, since it uses less digits than its factorization.

856290816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 856290816 is about 29262.4471977311. The cubic root of 856290816 is about 949.5993937880.

The spelling of 856290816 in words is "eight hundred fifty-six million, two hundred ninety thousand, eight hundred sixteen".