9005838120 has 192 divisors, whose sum is σ = 31683960000. Its totient is φ = 2275060608.

The previous prime is 9005838113. The next prime is 9005838131. The reversal of 9005838120 is 218385009.

It is a super-2 number, since 2×9005838120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378331 + ... + 401429.

It is an arithmetic number, because the mean of its divisors is an integer number (165020625).

Almost surely, 2^9005838120 is an apocalyptic number.

9005838120 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 9005838120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15841980000).

9005838120 is an abundant number, since it is smaller than the sum of its proper divisors (22678121880).

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

9005838120 is a wasteful number, since it uses less digits than its factorization.

9005838120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23157 (or 23128 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9005838120 is about 94899.0944108530. The cubic root of 9005838120 is about 2080.5334954262.

The spelling of 9005838120 in words is "nine billion, five million, eight hundred thirty-eight thousand, one hundred twenty".