86086 has 32 divisors (see below), whose sum is σ = 177408. Its totient is φ = 30240.

The previous prime is 86083. The next prime is 86111. The reversal of 86086 is 68068.

86086 = T₆₄ + T₆₅ + ... + T₉₁.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1981 + ... + 2023.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2⁸⁶⁰⁸⁶ is an apocalyptic number.

86086 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

86086 is an abundant number, since it is smaller than the sum of its proper divisors (91322).

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 (88704).

86086 is a wasteful number, since it uses less digits than its factorization.

86086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 86086 is about 293.4041581164. The cubic root of 86086 is about 44.1547580726.

It can be divided in two parts, 860 and 86, that added together give a triangular number (946 = T₄₃).

The spelling of 86086 in words is "eighty-six thousand, eighty-six".