9607680 has 160 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 2543616.

The previous prime is 9607657. The next prime is 9607691. The reversal of 9607680 is 867069.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69051 + ... + 69189.

It is an arithmetic number, because the mean of its divisors is an integer number (214830).

Almost surely, 2^9607680 is an apocalyptic number.

9607680 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 9607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

9607680 is an abundant number, since it is smaller than the sum of its proper divisors (24765120).

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

9607680 is a wasteful number, since it uses less digits than its factorization.

9607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9607680 is about 3099.6257838649. The cubic root of 9607680 is about 212.5883738536.

The spelling of 9607680 in words is "nine million, six hundred seven thousand, six hundred eighty".