86700 has 54 divisors (see below), whose sum is σ = 266476. Its totient is φ = 21760.

The previous prime is 86693. The next prime is 86711. The reversal of 86700 is 768.

86700 is nontrivially palindromic in base 13.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5092 + ... + 5108.

2⁸⁶⁷⁰⁰ 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 86700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133238).

86700 is an abundant number, since it is smaller than the sum of its proper divisors (179776).

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

86700 is a wasteful number, since it uses less digits than its factorization.

86700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 86700 is about 294.4486372867. The cubic root of 86700 is about 44.2594859806.

Multiplying 86700 by its reverse (768), we get a square (66585600 = 8160²).

The spelling of 86700 in words is "eighty-six thousand, seven hundred".