9008120 has 64 divisors (see below), whose sum is σ = 22550400. Its totient is φ = 3210880.

The previous prime is 9008119. The next prime is 9008123. The reversal of 9008120 is 218009.

It is a super-2 number, since 2×9008120² = 162292451868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 9008092 and 9008101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9008123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25787 + ... + 26133.

It is an arithmetic number, because the mean of its divisors is an integer number (352350).

Almost surely, 2^9008120 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 9008120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11275200).

9008120 is an abundant number, since it is smaller than the sum of its proper divisors (13542280).

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

9008120 is a wasteful number, since it uses less digits than its factorization.

9008120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 9008120 is about 3001.3530282191. The cubic root of 9008120 is about 208.0709200963.

The spelling of 9008120 in words is "nine million, eight thousand, one hundred twenty".