9605680 has 80 divisors (see below), whose sum is σ = 27051840. Its totient is φ = 3096576.

The previous prime is 9605671. The next prime is 9605707. The reversal of 9605680 is 865069.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 9016 + ... + 10024.

It is an arithmetic number, because the mean of its divisors is an integer number (338148).

Almost surely, 2^9605680 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 9605680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13525920).

9605680 is an abundant number, since it is smaller than the sum of its proper divisors (17446160).

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

9605680 is a wasteful number, since it uses less digits than its factorization.

9605680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 9605680 is about 3099.3031474833. The cubic root of 9605680 is about 212.5736215494.

The spelling of 9605680 in words is "nine million, six hundred five thousand, six hundred eighty".