9516960 has 96 divisors (see below), whose sum is σ = 33324480. Its totient is φ = 2536704.

The previous prime is 9516953. The next prime is 9516989. The reversal of 9516960 is 696159.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3219 + ... + 5421.

It is an arithmetic number, because the mean of its divisors is an integer number (347130).

Almost surely, 2^9516960 is an apocalyptic number.

9516960 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 9516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16662240).

9516960 is an abundant number, since it is smaller than the sum of its proper divisors (23807520).

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

9516960 is a wasteful number, since it uses less digits than its factorization.

9516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9516960 is about 3084.9570499441. The cubic root of 9516960 is about 211.9171386154.

The spelling of 9516960 in words is "nine million, five hundred sixteen thousand, nine hundred sixty".