9885120 has 112 divisors (see below), whose sum is σ = 35893248. Its totient is φ = 2257920.

The previous prime is 9885119. The next prime is 9885151. The reversal of 9885120 is 215889.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5985 + ... + 7455.

Almost surely, 2^9885120 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 9885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17946624).

9885120 is an abundant number, since it is smaller than the sum of its proper divisors (26008128).

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

9885120 is a wasteful number, since it uses less digits than its factorization.

9885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 9885120 is about 3144.0610681092. The cubic root of 9885120 is about 214.6152846087.

The spelling of 9885120 in words is "nine million, eight hundred eighty-five thousand, one hundred twenty".