86590 has 16 divisors (see below), whose sum is σ = 178272. Its totient is φ = 29664.

The previous prime is 86587. The next prime is 86599. The reversal of 86590 is 9568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86599) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549 + ... + 688.

It is an arithmetic number, because the mean of its divisors is an integer number (11142).

2⁸⁶⁵⁹⁰ is an apocalyptic number.

86590 is an abundant number, since it is smaller than the sum of its proper divisors (91682).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89136).

86590 is a wasteful number, since it uses less digits than its factorization.

86590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 86590 is about 294.2617882091. The cubic root of 86590 is about 44.2407600910.

It can be divided in two parts, 86 and 590, that added together give a palindrome (676).

The spelling of 86590 in words is "eighty-six thousand, five hundred ninety".