9643680 has 144 divisors (see below), whose sum is σ = 33985224. Its totient is φ = 2488320.

The previous prime is 9643679. The next prime is 9643691. The reversal of 9643680 is 863469.

9643680 is a `hidden beast` number, since 9 + 643 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 2862864 = 2604^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 53190 + ... + 53370.

Almost surely, 2^9643680 is an apocalyptic number.

9643680 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 9643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992612).

9643680 is an abundant number, since it is smaller than the sum of its proper divisors (24341544).

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

9643680 is a wasteful number, since it uses less digits than its factorization.

9643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9643680 is about 3105.4275068016. The cubic root of 9643680 is about 212.8535659526.

The spelling of 9643680 in words is "nine million, six hundred forty-three thousand, six hundred eighty".