856768 has 28 divisors (see below), whose sum is σ = 1856232. Its totient is φ = 389120.

The previous prime is 856759. The next prime is 856787. The reversal of 856768 is 867658.

856768 = T₁₂₇ + T₁₂₈ + ... + T₁₉₂.

It is a self number, because there is not a number n which added to its sum of digits gives 856768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96 + ... + 1312.

It is an arithmetic number, because the mean of its divisors is an integer number (66294).

2⁸⁵⁶⁷⁶⁸ is an apocalyptic number.

856768 is a gapful number since it is divisible by the number (88) 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 856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928116).

856768 is an abundant number, since it is smaller than the sum of its proper divisors (999464).

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

856768 is a wasteful number, since it uses less digits than its factorization.

856768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1230 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 856768 is about 925.6176316385. The cubic root of 856768 is about 94.9775755013.

The spelling of 856768 in words is "eight hundred fifty-six thousand, seven hundred sixty-eight".