9905688 has 96 divisors (see below), whose sum is σ = 30466800. Its totient is φ = 2882304.

The previous prime is 9905683. The next prime is 9905711. The reversal of 9905688 is 8865099.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9905683) 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, 17506 + ... + 18062.

Almost surely, 2^9905688 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 9905688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233400).

9905688 is an abundant number, since it is smaller than the sum of its proper divisors (20561112).

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

9905688 is a wasteful number, since it uses less digits than its factorization.

9905688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9905688 is about 3147.3302972519. The cubic root of 9905688 is about 214.7640317208.

The spelling of 9905688 in words is "nine million, nine hundred five thousand, six hundred eighty-eight".