9945680 has 80 divisors (see below), whose sum is σ = 25069824. Its totient is φ = 3655680.

The previous prime is 9945679. The next prime is 9945707. The reversal of 9945680 is 865499.

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

It is a congruent number.

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, 96509 + ... + 96611.

Almost surely, 2^9945680 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 9945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534912).

9945680 is an abundant number, since it is smaller than the sum of its proper divisors (15124144).

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

9945680 is a wasteful number, since it uses less digits than its factorization.

9945680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 9945680 is about 3153.6772187401. The cubic root of 9945680 is about 215.0526642216.

The spelling of 9945680 in words is "nine million, nine hundred forty-five thousand, six hundred eighty".