It is a happy number.
It is a tau number, because it is divible by the number of its divisors (24).
It is a plaindrome in base 5.
It is a zygodrome in base 5.
27968 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 7968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7968 is a wasteful number, since it uses less digits than its factorization.
7968 is an evil number, because the sum of its binary digits is even.
The square root of 7968 is about 89.2636544177. The cubic root of 7968 is about 19.9732976986.
Subtracting 7968 from its reverse (8697), we obtain a 6-th power (729 = 36).
The spelling of 7968 in words is "seven thousand, nine hundred sixty-eight".