9688900 has 72 divisors (see below), whose sum is σ = 23514120. Its totient is φ = 3440640.

The previous prime is 9688897. The next prime is 9688907. The reversal of 9688900 is 98869.

It is a happy number.

9688900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1382976 + 8305924 = 1176^2 + 2882^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9688907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37572 + ... + 37828.

It is an arithmetic number, because the mean of its divisors is an integer number (326585).

Almost surely, 2^9688900 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 9688900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11757060).

9688900 is an abundant number, since it is smaller than the sum of its proper divisors (13825220).

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

9688900 is a wasteful number, since it uses less digits than its factorization.

9688900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 9688900 is about 3112.6997927844. The cubic root of 9688900 is about 213.1857431855.

It can be divided in two parts, 9 and 688900, that multiplied together give a square (6200100 = 2490²).

The spelling of 9688900 in words is "nine million, six hundred eighty-eight thousand, nine hundred".