9959680 has 72 divisors (see below), whose sum is σ = 24724224. Its totient is φ = 3840000.

The previous prime is 9959659. The next prime is 9959683. The reversal of 9959680 is 869599.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9959680.

It is not an unprimeable number, because it can be changed into a prime (9959683) 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 7 ways as a sum of consecutive naturals, for example, 39555 + ... + 39805.

It is an arithmetic number, because the mean of its divisors is an integer number (343392).

Almost surely, 2^9959680 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 9959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362112).

9959680 is an abundant number, since it is smaller than the sum of its proper divisors (14764544).

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

9959680 is a wasteful number, since it uses less digits than its factorization.

9959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 9959680 is about 3155.8960692646. The cubic root of 9959680 is about 215.1535229435.

The spelling of 9959680 in words is "nine million, nine hundred fifty-nine thousand, six hundred eighty".