9688920 has 64 divisors (see below), whose sum is σ = 29272320. Its totient is φ = 2565504.

The previous prime is 9688919. The next prime is 9688927. The reversal of 9688920 is 298869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9688927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31407 + ... + 31713.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 2^9688920 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 9688920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636160).

9688920 is an abundant number, since it is smaller than the sum of its proper divisors (19583400).

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

9688920 is a wasteful number, since it uses less digits than its factorization.

9688920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 9688920 is about 3112.7030054279. The cubic root of 9688920 is about 213.1858898727.

The spelling of 9688920 in words is "nine million, six hundred eighty-eight thousand, nine hundred twenty".