9688 has 16 divisors (see below), whose sum is σ = 20880. Its totient is φ = 4128.

The previous prime is 9679. The next prime is 9689. The reversal of 9688 is 8869.

9688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

9688 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 142.

It is an arithmetic number, because the mean of its divisors is an integer number (1305).

2⁹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

9688 is an abundant number, since it is smaller than the sum of its proper divisors (11192).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10440).

9688 is a wasteful number, since it uses less digits than its factorization.

9688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 9688 is about 98.4276383949. The cubic root of 9688 is about 21.3179142054.

It can be divided in two parts, 968 and 8, that multiplied together give a square (7744 = 88²).

The spelling of 9688 in words is "nine thousand, six hundred eighty-eight".