9009120 has 72 divisors (see below), whose sum is σ = 28587384. Its totient is φ = 2384896.

The previous prime is 9009107. The next prime is 9009157. The reversal of 9009120 is 219009.

It is a happy number.

9009120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65692 + ... + 65828.

It is an arithmetic number, because the mean of its divisors is an integer number (397047).

Almost surely, 2^9009120 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 9009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14293692).

9009120 is an abundant number, since it is smaller than the sum of its proper divisors (19578264).

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

9009120 is a wasteful number, since it uses less digits than its factorization.

9009120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 9009120 is about 3001.5196151283. The cubic root of 9009120 is about 208.0786191952.

The spelling of 9009120 in words is "nine million, nine thousand, one hundred twenty".