86868 has 36 divisors (see below), whose sum is σ = 232960. Its totient is φ = 27216.

The previous prime is 86861. The next prime is 86869.

86868 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

86868 is an undulating number in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86861) by changing a digit.

86868 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 11 ways as a sum of consecutive naturals, for example, 621 + ... + 747.

2⁸⁶⁸⁶⁸ 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 86868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116480).

86868 is an abundant number, since it is smaller than the sum of its proper divisors (146092).

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

86868 is a wasteful number, since it uses less digits than its factorization.

86868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 151 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 86868 is about 294.7337781796. The cubic root of 86868 is about 44.2880549776.

The spelling of 86868 in words is "eighty-six thousand, eight hundred sixty-eight".