9680320 has 84 divisors (see below), whose sum is σ = 25100280. Its totient is φ = 3554304.

The previous prime is 9680303. The next prime is 9680351. The reversal of 9680320 is 230869.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 53991 + ... + 54169.

Almost surely, 2^9680320 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 9680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12550140).

9680320 is an abundant number, since it is smaller than the sum of its proper divisors (15419960).

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

9680320 is a wasteful number, since it uses less digits than its factorization.

9680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 9680320 is about 3111.3212627435. The cubic root of 9680320 is about 213.1227957621.

It can be divided in two parts, 9680 and 320, that multiplied together give a square (3097600 = 1760²).

The spelling of 9680320 in words is "nine million, six hundred eighty thousand, three hundred twenty".