86900 has 36 divisors (see below), whose sum is σ = 208320. Its totient is φ = 31200.

The previous prime is 86869. The next prime is 86923. The reversal of 86900 is 968.

It is a super-2 number, since 2×86900² = 15103220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1061 + ... + 1139.

2⁸⁶⁹⁰⁰ 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 86900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160).

86900 is an abundant number, since it is smaller than the sum of its proper divisors (121420).

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

86900 is a wasteful number, since it uses less digits than its factorization.

86900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 86900 is about 294.7880594597. The cubic root of 86900 is about 44.2934925142.

Subtracting from 86900 its product of nonzero digits (432), we obtain a palindrome (86468).

The spelling of 86900 in words is "eighty-six thousand, nine hundred".