86112 has 72 divisors (see below), whose sum is σ = 275184. Its totient is φ = 25344.

The previous prime is 86111. The next prime is 86113. The reversal of 86112 is 21168.

It is an interprime number because it is at equal distance from previous prime (86111) and next prime (86113).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3733 + ... + 3755.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2⁸⁶¹¹² 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 86112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

86112 is an abundant number, since it is smaller than the sum of its proper divisors (189072).

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

86112 is a wasteful number, since it uses less digits than its factorization.

86112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 41 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 86112 is about 293.4484622553. The cubic root of 86112 is about 44.1592028842.

The spelling of 86112 in words is "eighty-six thousand, one hundred twelve".