85856256 has 156 divisors (see below), whose sum is σ = 264503772. Its totient is φ = 26738688.

The previous prime is 85856233. The next prime is 85856293. The reversal of 85856256 is 65265858.

85856256 is a `hidden beast` number, since 8 + 585 + 62 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58982400 + 26873856 = 7680^2 + 5184^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 626620 + ... + 626756.

It is an arithmetic number, because the mean of its divisors is an integer number (1695537).

Almost surely, 2^85856256 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 85856256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132251886).

85856256 is an abundant number, since it is smaller than the sum of its proper divisors (178647516).

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

85856256 is a wasteful number, since it uses less digits than its factorization.

85856256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 85856256 is about 9265.8650972265. The cubic root of 85856256 is about 441.1544340115.

It can be divided in two parts, 8585 and 6256, that added together give a palindrome (14841).

The spelling of 85856256 in words is "eighty-five million, eight hundred fifty-six thousand, two hundred fifty-six".