9006120 has 128 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 2315520.

The previous prime is 9006077. The next prime is 9006139. The reversal of 9006120 is 216009.

It is a super-2 number, since 2×9006120² = 162220394908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 9006093 and 9006102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33346 + ... + 33614.

It is an arithmetic number, because the mean of its divisors is an integer number (243000).

Almost surely, 2^9006120 is an apocalyptic number.

9006120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

9006120 is an abundant number, since it is smaller than the sum of its proper divisors (22097880).

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

9006120 is a wasteful number, since it uses less digits than its factorization.

9006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 9006120 is about 3001.0198266589. The cubic root of 9006120 is about 208.0555201889.

The spelling of 9006120 in words is "nine million, six thousand, one hundred twenty".