9671680 has 44 divisors (see below), whose sum is σ = 23212980. Its totient is φ = 3866624.

The previous prime is 9671677. The next prime is 9671687. The reversal of 9671680 is 861769.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 5607424 = 2016^2 + 2368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9671687) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4176 + ... + 6064.

Almost surely, 2^9671680 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 9671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606490).

9671680 is an abundant number, since it is smaller than the sum of its proper divisors (13541300).

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

9671680 is a wasteful number, since it uses less digits than its factorization.

9671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 9671680 is about 3109.9324751512. The cubic root of 9671680 is about 213.0593705497.

The spelling of 9671680 in words is "nine million, six hundred seventy-one thousand, six hundred eighty".