9045168 has 80 divisors (see below), whose sum is σ = 26236416. Its totient is φ = 2661120.

The previous prime is 9045163. The next prime is 9045191. The reversal of 9045168 is 8615409.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9045161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19305 + ... + 19767.

Almost surely, 2^9045168 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 9045168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13118208).

9045168 is an abundant number, since it is smaller than the sum of its proper divisors (17191248).

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

9045168 is a wasteful number, since it uses less digits than its factorization.

9045168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 9045168 is about 3007.5185784962. The cubic root of 9045168 is about 208.3557767110.

The spelling of 9045168 in words is "nine million, forty-five thousand, one hundred sixty-eight".