9884160 has 320 divisors, whose sum is σ = 41247360. Its totient is φ = 2211840.

The previous prime is 9884159. The next prime is 9884179. The reversal of 9884160 is 614889.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760314 + ... + 760326.

It is an arithmetic number, because the mean of its divisors is an integer number (128898).

Almost surely, 2^9884160 is an apocalyptic number.

9884160 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 9884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

9884160 is an abundant number, since it is smaller than the sum of its proper divisors (31363200).

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

9884160 is a wasteful number, since it uses less digits than its factorization.

9884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9884160 is about 3143.9083956121. The cubic root of 9884160 is about 214.6083368818.

The spelling of 9884160 in words is "nine million, eight hundred eighty-four thousand, one hundred sixty".