9688600 has 48 divisors (see below), whose sum is σ = 22732920. Its totient is φ = 3840000.

The previous prime is 9688597. The next prime is 9688607. The reversal of 9688600 is 68869.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9688600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9688607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38475 + ... + 38725.

Almost surely, 2^9688600 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 9688600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11366460).

9688600 is an abundant number, since it is smaller than the sum of its proper divisors (13044320).

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

9688600 is a wasteful number, since it uses less digits than its factorization.

9688600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 9688600 is about 3112.6516027336. The cubic root of 9688600 is about 213.1835428538.

The spelling of 9688600 in words is "nine million, six hundred eighty-eight thousand, six hundred".