9768960 has 156 divisors (see below), whose sum is σ = 34500492. Its totient is φ = 2555904.

The previous prime is 9768917. The next prime is 9768971. The reversal of 9768960 is 698679.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 4460544 = 2304^2 + 2112^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184294 + ... + 184346.

It is an arithmetic number, because the mean of its divisors is an integer number (221157).

Almost surely, 2^9768960 is an apocalyptic number.

9768960 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 9768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250246).

9768960 is an abundant number, since it is smaller than the sum of its proper divisors (24731532).

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

9768960 is a wasteful number, since it uses less digits than its factorization.

9768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9768960 is about 3125.5335544511. The cubic root of 9768960 is about 213.7713223830.

The spelling of 9768960 in words is "nine million, seven hundred sixty-eight thousand, nine hundred sixty".