856608 has 24 divisors (see below), whose sum is σ = 2248848. Its totient is φ = 285504.

The previous prime is 856571. The next prime is 856627. The reversal of 856608 is 806658.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

856608 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 3 ways as a sum of consecutive naturals, for example, 4366 + ... + 4557.

It is an arithmetic number, because the mean of its divisors is an integer number (93702).

2⁸⁵⁶⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

856608 is an abundant number, since it is smaller than the sum of its proper divisors (1392240).

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

856608 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (856607) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (8928).

856608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8936 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 856608 is about 925.5311988258. The cubic root of 856608 is about 94.9716628317.

It can be divided in two parts, 8 and 56608, that added together give a triangular number (56616 = T₃₃₆).

The spelling of 856608 in words is "eight hundred fifty-six thousand, six hundred eight".