1584 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.
It is a nialpdrome in base 7, base 12 and base 16.
It is a zygodrome in base 2 and base 7.
21584 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 1584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1584 is a wasteful number, since it uses less digits than its factorization.
1584 is an evil number, because the sum of its binary digits is even.
The square root of 1584 is about 39.7994974843. The cubic root of 1584 is about 11.6569533665.
1584 divided by its sum of digits (18) gives a palindrome (88).
Multiplying 1584 by its reverse (4851), we get a square (7683984 = 27722).
The spelling of 1584 in words is "one thousand, five hundred eighty-four".