108864 has 84 divisors (see below), whose sum is σ = 369824. Its totient is φ = 31104.

The previous prime is 108863. The next prime is 108869. The reversal of 108864 is 468801.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15549 + ... + 15555.

108864 is a Friedman number, since it can be written as 6048*18, using all its digits and the basic arithmetic operations.

2¹⁰⁸⁸⁶⁴ is an apocalyptic number.

108864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184912).

108864 is an abundant number, since it is smaller than the sum of its proper divisors (260960).

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

108864 is an frugal number, since it uses more digits than its factorization.

108864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108864 is about 329.9454500368. The cubic root of 108864 is about 47.7486864948.

The spelling of 108864 in words is "one hundred eight thousand, eight hundred sixty-four".