9918160 has 80 divisors (see below), whose sum is σ = 26784000. Its totient is φ = 3345408.

The previous prime is 9918143. The next prime is 9918163. The reversal of 9918160 is 618199.

9918160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9918163) 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, 49741 + ... + 49939.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 2^9918160 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 9918160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392000).

9918160 is an abundant number, since it is smaller than the sum of its proper divisors (16865840).

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

9918160 is a wasteful number, since it uses less digits than its factorization.

9918160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 9918160 is about 3149.3110357664. The cubic root of 9918160 is about 214.8541285631.

The spelling of 9918160 in words is "nine million, nine hundred eighteen thousand, one hundred sixty".