86856 has 64 divisors (see below), whose sum is σ = 276480. Its totient is φ = 22080.

The previous prime is 86851. The next prime is 86857. The reversal of 86856 is 65868.

It is a super-3 number, since 3×86856³ = 1965715803330048, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86856.

It is not an unprimeable number, because it can be changed into a prime (86851) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1825 + ... + 1871.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁸⁶⁸⁵⁶ 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 86856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

86856 is an abundant number, since it is smaller than the sum of its proper divisors (189624).

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

86856 is a wasteful number, since it uses less digits than its factorization.

86856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 70 counting only the distinct ones).

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

The square root of 86856 is about 294.7134201220. The cubic root of 86856 is about 44.2860155571.

The spelling of 86856 in words is "eighty-six thousand, eight hundred fifty-six".