9909960 has 64 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 2624256.

The previous prime is 9909943. The next prime is 9909961. The reversal of 9909960 is 699099.

9909960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9909961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32127 + ... + 32433.

It is an arithmetic number, because the mean of its divisors is an integer number (467775).

Almost surely, 2^9909960 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 9909960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

9909960 is an abundant number, since it is smaller than the sum of its proper divisors (20027640).

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

9909960 is a wasteful number, since it uses less digits than its factorization.

9909960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 42.

The square root of 9909960 is about 3148.0088945236. The cubic root of 9909960 is about 214.7949008565.

The spelling of 9909960 in words is "nine million, nine hundred nine thousand, nine hundred sixty".