856258656 has 192 divisors, whose sum is σ = 2546691840. Its totient is φ = 249661440.

The previous prime is 856258621. The next prime is 856258679. The reversal of 856258656 is 656852658.

It is a junction number, because it is equal to n+sod(n) for n = 856258599 and 856258608.

It is a congruent number.

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, 4949386 + ... + 4949558.

It is an arithmetic number, because the mean of its divisors is an integer number (13264020).

Almost surely, 2^856258656 is an apocalyptic number.

856258656 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 856258656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273345920).

856258656 is an abundant number, since it is smaller than the sum of its proper divisors (1690433184).

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

856258656 is a wasteful number, since it uses less digits than its factorization.

856258656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 51.

The square root of 856258656 is about 29261.8976828230. The cubic root of 856258656 is about 949.5875054987.

The spelling of 856258656 in words is "eight hundred fifty-six million, two hundred fifty-eight thousand, six hundred fifty-six".