9900688 has 40 divisors (see below), whose sum is σ = 22151360. Its totient is φ = 4199040.

The previous prime is 9900677. The next prime is 9900689. The reversal of 9900688 is 8860099.

It is a happy number.

9900688 is nontrivially palindromic in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 9900688.

It is not an unprimeable number, because it can be changed into a prime (9900689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11803 + ... + 12613.

It is an arithmetic number, because the mean of its divisors is an integer number (553784).

Almost surely, 2^9900688 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 9900688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075680).

9900688 is an abundant number, since it is smaller than the sum of its proper divisors (12250672).

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

9900688 is a wasteful number, since it uses less digits than its factorization.

9900688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

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

The square root of 9900688 is about 3146.5358729879. The cubic root of 9900688 is about 214.7278908394.

The spelling of 9900688 in words is "nine million, nine hundred thousand, six hundred eighty-eight".