86884 has 24 divisors (see below), whose sum is σ = 181440. Its totient is φ = 35616.

The previous prime is 86869. The next prime is 86923. The reversal of 86884 is 48868.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759 + ... + 865.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁸⁶⁸⁸⁴ 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 86884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

86884 is an abundant number, since it is smaller than the sum of its proper divisors (94556).

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

86884 is a wasteful number, since it uses less digits than its factorization.

86884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 86884 is about 294.7609200691. The cubic root of 86884 is about 44.2907739128.

The spelling of 86884 in words is "eighty-six thousand, eight hundred eighty-four".