86128 has 20 divisors (see below), whose sum is σ = 190960. Its totient is φ = 36864.

The previous prime is 86117. The next prime is 86131. The reversal of 86128 is 82168.

86128 is nontrivially palindromic in base 12.

It is a congruent number.

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, 273 + ... + 496.

It is an arithmetic number, because the mean of its divisors is an integer number (9548).

2⁸⁶¹²⁸ is an apocalyptic number.

It is an amenable number.

86128 is an abundant number, since it is smaller than the sum of its proper divisors (104832).

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 (95480).

86128 is a wasteful number, since it uses less digits than its factorization.

86128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 86128 is about 293.4757230164. The cubic root of 86128 is about 44.1619377082.

The spelling of 86128 in words is "eighty-six thousand, one hundred twenty-eight".