9804960 has 144 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 2373120.

The previous prime is 9804943. The next prime is 9804967. The reversal of 9804960 is 694089.

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

It is a super-2 number, since 2×9804960² = 192274481203200, which contains 22 as substring.

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 (9804967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15531 + ... + 16149.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 2^9804960 is an apocalyptic number.

9804960 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 9804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

9804960 is an abundant number, since it is smaller than the sum of its proper divisors (26755200).

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

9804960 is a wasteful number, since it uses less digits than its factorization.

9804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9804960 is about 3131.2872752272. The cubic root of 9804960 is about 214.0335930028.

The spelling of 9804960 in words is "nine million, eight hundred four thousand, nine hundred sixty".