86912 has 32 divisors (see below), whose sum is σ = 199920. Its totient is φ = 36864.

The previous prime is 86869. The next prime is 86923. The reversal of 86912 is 21968.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

86912 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 3 ways as a sum of consecutive naturals, for example, 848 + ... + 944.

2⁸⁶⁹¹² 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 86912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99960).

86912 is an abundant number, since it is smaller than the sum of its proper divisors (113008).

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

86912 is an equidigital number, since it uses as much as digits as its factorization.

86912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 86912 is about 294.8084123630. The cubic root of 86912 is about 44.2955312462.

The spelling of 86912 in words is "eighty-six thousand, nine hundred twelve".