856008 has 40 divisors (see below), whose sum is σ = 2399430. Its totient is φ = 285120.

The previous prime is 855997. The next prime is 856021. The reversal of 856008 is 800658.

856008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 544644 + 311364 = 738^2 + 558^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

856008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13 + ... + 1308.

2⁸⁵⁶⁰⁰⁸ 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 856008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199715).

856008 is an abundant number, since it is smaller than the sum of its proper divisors (1543422).

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

856008 is a wasteful number, since it uses less digits than its factorization.

856008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 856008 is about 925.2070038645. The cubic root of 856008 is about 94.9494837614.

The spelling of 856008 in words is "eight hundred fifty-six thousand, eight".