86032 has 20 divisors (see below), whose sum is σ = 176080. Its totient is φ = 40608.

The previous prime is 86029. The next prime is 86069. The reversal of 86032 is 23068.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163 + ... + 445.

It is an arithmetic number, because the mean of its divisors is an integer number (8804).

2⁸⁶⁰³² 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 86032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88040).

86032 is an abundant number, since it is smaller than the sum of its proper divisors (90048).

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

86032 is a wasteful number, since it uses less digits than its factorization.

86032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 86032 is about 293.3121204451. The cubic root of 86032 is about 44.1455236804.

Adding to 86032 its product of nonzero digits (288), we get a triangular number (86320 = T₄₁₅).

The spelling of 86032 in words is "eighty-six thousand, thirty-two".