86190 has 48 divisors (see below), whose sum is σ = 237168. Its totient is φ = 19968.

The previous prime is 86183. The next prime is 86197. The reversal of 86190 is 9168.

It is an interprime number because it is at equal distance from previous prime (86183) and next prime (86197).

It is a super-2 number, since 2×86190² = 14857432200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86190.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86197) by changing a digit.

86190 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 23 ways as a sum of consecutive naturals, for example, 5062 + ... + 5078.

It is an arithmetic number, because the mean of its divisors is an integer number (4941).

2⁸⁶¹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118584).

86190 is an abundant number, since it is smaller than the sum of its proper divisors (150978).

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

86190 is a wasteful number, since it uses less digits than its factorization.

86190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 86190 is about 293.5813345565. The cubic root of 86190 is about 44.1725319532.

Subtracting from 86190 its product of nonzero digits (432), we obtain a palindrome (85758).

It can be divided in two parts, 86 and 190, that added together give a triangular number (276 = T₂₃).

The spelling of 86190 in words is "eighty-six thousand, one hundred ninety".