9704880 has 80 divisors (see below), whose sum is σ = 33435360. Its totient is φ = 2587392.

The previous prime is 9704867. The next prime is 9704887. The reversal of 9704880 is 884079.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (9704887) 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, 87 + ... + 4406.

It is an arithmetic number, because the mean of its divisors is an integer number (417942).

Almost surely, 2^9704880 is an apocalyptic number.

9704880 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 9704880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717680).

9704880 is an abundant number, since it is smaller than the sum of its proper divisors (23730480).

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

9704880 is a wasteful number, since it uses less digits than its factorization.

9704880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9704880 is about 3115.2656387538. The cubic root of 9704880 is about 213.3028819383.

The spelling of 9704880 in words is "nine million, seven hundred four thousand, eight hundred eighty".