9663680 has 112 divisors (see below), whose sum is σ = 26115264. Its totient is φ = 3379200.

The previous prime is 9663679. The next prime is 9663683. The reversal of 9663680 is 863669.

It is a happy number.

It is a super-2 number, since 2×9663680² = 186773422284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9663683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95630 + ... + 95730.

It is an arithmetic number, because the mean of its divisors is an integer number (233172).

Almost surely, 2^9663680 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 9663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13057632).

9663680 is an abundant number, since it is smaller than the sum of its proper divisors (16451584).

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

9663680 is a wasteful number, since it uses less digits than its factorization.

9663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 9663680 is about 3108.6460075087. The cubic root of 9663680 is about 213.0006098126. Note that the first 3 decimals are identical.

The spelling of 9663680 in words is "nine million, six hundred sixty-three thousand, six hundred eighty".