9931680 has 288 divisors, whose sum is σ = 40219200. Its totient is φ = 2280960.

The previous prime is 9931639. The next prime is 9931709. The reversal of 9931680 is 861399.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 522711 + ... + 522729.

It is an arithmetic number, because the mean of its divisors is an integer number (139650).

Almost surely, 2^9931680 is an apocalyptic number.

9931680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109600).

9931680 is an abundant number, since it is smaller than the sum of its proper divisors (30287520).

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

9931680 is a wasteful number, since it uses less digits than its factorization.

9931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9931680 is about 3151.4568059867. The cubic root of 9931680 is about 214.9517108064.

The spelling of 9931680 in words is "nine million, nine hundred thirty-one thousand, six hundred eighty".