85967856 has 120 divisors (see below), whose sum is σ = 272847120. Its totient is φ = 25049088.

The previous prime is 85967839. The next prime is 85967863. The reversal of 85967856 is 65876958.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34360 + ... + 36776.

It is an arithmetic number, because the mean of its divisors is an integer number (2273726).

Almost surely, 2^85967856 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 85967856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136423560).

85967856 is an abundant number, since it is smaller than the sum of its proper divisors (186879264).

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

85967856 is a wasteful number, since it uses less digits than its factorization.

85967856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2454 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 85967856 is about 9271.8852451915. The cubic root of 85967856 is about 441.3454956797.

The spelling of 85967856 in words is "eighty-five million, nine hundred sixty-seven thousand, eight hundred fifty-six".