86988 has 24 divisors (see below), whose sum is σ = 221760. Its totient is φ = 26320.

The previous prime is 86981. The next prime is 86993. The reversal of 86988 is 88968.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86988.

It is not an unprimeable number, because it can be changed into a prime (86981) 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, 198 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2⁸⁶⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

86988 is an abundant number, since it is smaller than the sum of its proper divisors (134772).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

86988 is a wasteful number, since it uses less digits than its factorization.

86988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 86988 is about 294.9372814685. The cubic root of 86988 is about 44.3084388600.

Subtracting from 86988 its product of digits (27648), we obtain a triangular number (59340 = T₃₄₄).

It can be divided in two parts, 8 and 6988, that added together give a palindrome (6996).

The spelling of 86988 in words is "eighty-six thousand, nine hundred eighty-eight".