9768360 has 128 divisors (see below), whose sum is σ = 34732800. Its totient is φ = 2150400.

The previous prime is 9768347. The next prime is 9768361. The reversal of 9768360 is 638679.

It is not an unprimeable number, because it can be changed into a prime (9768361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24160 + ... + 24560.

It is an arithmetic number, because the mean of its divisors is an integer number (271350).

Almost surely, 2^9768360 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 9768360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366400).

9768360 is an abundant number, since it is smaller than the sum of its proper divisors (24964440).

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

9768360 is a wasteful number, since it uses less digits than its factorization.

9768360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 9768360 is about 3125.4375693653. The cubic root of 9768360 is about 213.7669457514.

The spelling of 9768360 in words is "nine million, seven hundred sixty-eight thousand, three hundred sixty".