Multipling 98304 by its sum of digits (24), we get a square (2359296 = 15362).
98304 divided by its sum of digits (24) gives a 12-th power (4096 = 212).
Multipling 98304 by its product of nonzero digits (864), we get a 4-th power (84934656 = 964).
It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)12.
It is a tau number, because it is divible by the number of its divisors (32).
It is an ABA number since it can be written as A⋅BA, here for A=3, B=32.
It is a nialpdrome in base 2 and base 8.
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
In principle, a polygon with 98304 sides can be constructed with ruler and compass.
98304 is a Friedman number, since it can be written as 8^(9-4-0)*3, using all its digits and the basic arithmetic operations.
298304 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 98304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131070).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
98304 is an frugal number, since it uses more digits than its factorization.
98304 is an evil number, because the sum of its binary digits is even.
The square root of 98304 is about 313.5346870762. The cubic root of 98304 is about 46.1519862498.
The spelling of 98304 in words is "ninety-eight thousand, three hundred four".