9960320 has 64 divisors (see below), whose sum is σ = 24235200. Its totient is φ = 3913728.

The previous prime is 9960281. The next prime is 9960337. The reversal of 9960320 is 230699.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50462 + ... + 50658.

It is an arithmetic number, because the mean of its divisors is an integer number (378675).

Almost surely, 2^9960320 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 9960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117600).

9960320 is an abundant number, since it is smaller than the sum of its proper divisors (14274880).

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

9960320 is a wasteful number, since it uses less digits than its factorization.

9960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 9960320 is about 3155.9974651447. The cubic root of 9960320 is about 215.1581313682.

The spelling of 9960320 in words is "nine million, nine hundred sixty thousand, three hundred twenty".