9916480 has 112 divisors (see below), whose sum is σ = 28529280. Its totient is φ = 3207168.

The previous prime is 9916451. The next prime is 9916507. The reversal of 9916480 is 846199.

It is a tau number, because it is divible by the number of its divisors (112).

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, 42444 + ... + 42676.

Almost surely, 2^9916480 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 9916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264640).

9916480 is an abundant number, since it is smaller than the sum of its proper divisors (18612800).

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

9916480 is a wasteful number, since it uses less digits than its factorization.

9916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 9916480 is about 3149.0442994661. The cubic root of 9916480 is about 214.8419967659.

The spelling of 9916480 in words is "nine million, nine hundred sixteen thousand, four hundred eighty".