It is a tau number, because it is divible by the number of its divisors (84).
It is a nialpdrome in base 6 and base 12.
It is a zygodrome in base 6.
It is a congruent number.
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).
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 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".