It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)7.
It is a nialpdrome in base 2 and base 4.
It is a zygodrome in base 2 and base 4.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15360.
In principle, a polygon with 15360 sides can be constructed with ruler and compass.
215360 is an apocalyptic number.
15360 is a gapful number since it is divisible by the number (10) 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 15360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24564).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
15360 is an equidigital number, since it uses as much as digits as its factorization.
15360 is an evil number, because the sum of its binary digits is even.
The square root of 15360 is about 123.9354670786. The cubic root of 15360 is about 24.8578600476.
Multiplying 15360 by its sum of digits (15), we get a square (230400 = 4802).
15360 divided by its sum of digits (15) gives a 10-th power (1024 = 210).
Subtracting from 15360 its reverse (6351), we obtain a palindrome (9009).
The spelling of 15360 in words is "fifteen thousand, three hundred sixty".