The square root of 36864 is 192.
It is a Jordan-Polya number, since it can be written as (4!)2 ⋅ (2!)6.
It is a nude number because it is divisible by every one of its digits.
It is a Duffinian number.
It is a nialpdrome in base 4, base 8, base 9 and base 16.
It is a zygodrome in base 8.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36864.
It is an unprimeable number.
36864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
36864 is a Friedman number, since it can be written as (8*6*4)^(6/3), using all its digits and the basic arithmetic operations.
236864 is an apocalyptic number.
36864 is the 192-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36864
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36864 is an equidigital number, since it uses as much as digits as its factorization.
36864 is an evil number, because the sum of its binary digits is even.
The cubic root of 36864 is about 33.2813411688.
Subtracting 36864 from its reverse (46863), we obtain a palindrome (9999).
The spelling of 36864 in words is "thirty-six thousand, eight hundred sixty-four".