9003168 has 72 divisors (see below), whose sum is σ = 26234208. Its totient is φ = 2927232.

The previous prime is 9003133. The next prime is 9003187. The reversal of 9003168 is 8613009.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12021 + ... + 12747.

It is an arithmetic number, because the mean of its divisors is an integer number (364364).

Almost surely, 2^9003168 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 9003168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117104).

9003168 is an abundant number, since it is smaller than the sum of its proper divisors (17231040).

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

9003168 is a wasteful number, since it uses less digits than its factorization.

9003168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9003168 is about 3000.5279535442. The cubic root of 9003168 is about 208.0327857589.

The spelling of 9003168 in words is "nine million, three thousand, one hundred sixty-eight".