85686 has 8 divisors (see below), whose sum is σ = 171384. Its totient is φ = 28560.

The previous prime is 85669. The next prime is 85691. The reversal of 85686 is 68658.

85686 is nontrivially palindromic in base 13.

It is a sphenic number, since it is the product of 3 distinct primes.

85686 is an admirable number.

It is a congruent number.

It is an unprimeable number.

85686 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7135 + ... + 7146.

It is an arithmetic number, because the mean of its divisors is an integer number (21423).

2⁸⁵⁶⁸⁶ is an apocalyptic number.

85686 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85692).

85686 is a wasteful number, since it uses less digits than its factorization.

85686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14286.

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

The square root of 85686 is about 292.7217108450. The cubic root of 85686 is about 44.0862632747.

The spelling of 85686 in words is "eighty-five thousand, six hundred eighty-six".