9045120 has 128 divisors (see below), whose sum is σ = 32999040. Its totient is φ = 2064384.

The previous prime is 9045119. The next prime is 9045137. The reversal of 9045120 is 215409.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13104 + ... + 13776.

It is an arithmetic number, because the mean of its divisors is an integer number (257805).

Almost surely, 2^9045120 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 9045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499520).

9045120 is an abundant number, since it is smaller than the sum of its proper divisors (23953920).

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

9045120 is a wasteful number, since it uses less digits than its factorization.

9045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 9045120 is about 3007.5105984851. The cubic root of 9045120 is about 208.3554081498.

The spelling of 9045120 in words is "nine million, forty-five thousand, one hundred twenty".