It is a Jordan-Polya number, since it can be written as 6! ⋅ 3! ⋅ 2!.
8640 is an esthetic number in base 11 and base 14, because in such bases its adjacent digits differ by 1.
It is a nialpdrome in base 10 and base 12.
It is a congruent number.
8640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
28640 is an apocalyptic number.
8640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
8640 is the 54-th octagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8640 is a wasteful number, since it uses less digits than its factorization.
8640 is an evil number, because the sum of its binary digits is even.
The square root of 8640 is about 92.9516003090. The cubic root of 8640 is about 20.5197113601.
Subtracting from 8640 its product of nonzero digits (192), we obtain a palindrome (8448).
8640 divided by its product of nonzero digits (192) gives a triangular number (45 = T9).
The spelling of 8640 in words is "eight thousand, six hundred forty".