86860 has 24 divisors (see below), whose sum is σ = 188496. Its totient is φ = 33600.

The previous prime is 86857. The next prime is 86861. The reversal of 86860 is 6868.

86860 is nontrivially palindromic in base 12.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810 + ... + 910.

It is an arithmetic number, because the mean of its divisors is an integer number (7854).

2⁸⁶⁸⁶⁰ 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 86860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94248).

86860 is an abundant number, since it is smaller than the sum of its proper divisors (101636).

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

86860 is a wasteful number, since it uses less digits than its factorization.

86860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 86860 is about 294.7202062974. The cubic root of 86860 is about 44.2866953848.

It can be divided in two parts, 86 and 860, that added together give a triangular number (946 = T₄₃).

The spelling of 86860 in words is "eighty-six thousand, eight hundred sixty".