9768 has 32 divisors (see below), whose sum is σ = 27360. Its totient is φ = 2880.

The previous prime is 9767. The next prime is 9769. The reversal of 9768 is 8679.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9767) and next prime (9769).

It is not an unprimeable number, because it can be changed into a prime (9767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (855).

2⁹⁷⁶⁸ 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 9768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680).

9768 is an abundant number, since it is smaller than the sum of its proper divisors (17592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9768 is a wasteful number, since it uses less digits than its factorization.

9768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 53 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 9768 is about 98.8331928048. The cubic root of 9768 is about 21.3764319686.

Subtracting from 9768 its reverse (8679), we obtain a square (1089 = 33²).

It can be divided in two parts, 9 and 768, that added together give a palindrome (777).

The spelling of 9768 in words is "nine thousand, seven hundred sixty-eight".