It is a Jordan-Polya number, since it can be written as (4!)3 ⋅ 2!.
It is a nialpdrome in base 6 and base 8.
It is a zygodrome in base 8.
27648 is a Friedman number, since it can be written as 4^6*(7-2/8), using all its digits and the basic arithmetic operations.
227648 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 27648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27648 is an equidigital number, since it uses as much as digits as its factorization.
27648 is an evil number, because the sum of its binary digits is even.
The square root of 27648 is about 166.2768775266. The cubic root of 27648 is about 30.2381051975.
Multiplying 27648 by its sum of digits (27), we get a square (746496 = 8642).
27648 divided by its sum of digits (27) gives a 10-th power (1024 = 210).
Multiplying 27648 by its reverse (84672), we get a square (2341011456 = 483842).
The spelling of 27648 in words is "twenty-seven thousand, six hundred forty-eight".