9904080 has 80 divisors (see below), whose sum is σ = 31783680. Its totient is φ = 2548224.

The previous prime is 9904079. The next prime is 9904117. The reversal of 9904080 is 804099.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6249 + ... + 7671.

It is an arithmetic number, because the mean of its divisors is an integer number (397296).

Almost surely, 2^9904080 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 9904080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15891840).

9904080 is an abundant number, since it is smaller than the sum of its proper divisors (21879600).

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

9904080 is a wasteful number, since it uses less digits than its factorization.

9904080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9904080 is about 3147.0748322847. The cubic root of 9904080 is about 214.7524101403.

The spelling of 9904080 in words is "nine million, nine hundred four thousand, eighty".