86688 has 72 divisors (see below), whose sum is σ = 288288. Its totient is φ = 24192.

The previous prime is 86677. The next prime is 86689. The reversal of 86688 is 88668.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86689) by changing a digit.

86688 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, 1995 + ... + 2037.

It is an arithmetic number, because the mean of its divisors is an integer number (4004).

2⁸⁶⁶⁸⁸ 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 86688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144).

86688 is an abundant number, since it is smaller than the sum of its proper divisors (201600).

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

86688 is a wasteful number, since it uses less digits than its factorization.

86688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 55 counting only the distinct ones).

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

The square root of 86688 is about 294.4282595132. The cubic root of 86688 is about 44.2574439263.

The spelling of 86688 in words is "eighty-six thousand, six hundred eighty-eight".