86268 has 48 divisors (see below), whose sum is σ = 250880. Its totient is φ = 22464.

The previous prime is 86263. The next prime is 86269.

86268 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053 + ... + 1131.

2⁸⁶²⁶⁸ 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 86268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125440).

86268 is an abundant number, since it is smaller than the sum of its proper divisors (164612).

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

86268 is a wasteful number, since it uses less digits than its factorization.

86268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 86268 is about 293.7141467482. The cubic root of 86268 is about 44.1858529829.

The spelling of 86268 in words is "eighty-six thousand, two hundred sixty-eight".