9005834920 has 32 divisors (see below), whose sum is σ = 21144136320. Its totient is φ = 3445710400.

The previous prime is 9005834917. The next prime is 9005834921. The reversal of 9005834920 is 294385009.

It is a happy number.

It is a super-2 number, since 2×9005834920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (9005834921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4893556 + ... + 4895395.

It is an arithmetic number, because the mean of its divisors is an integer number (660754260).

Almost surely, 2^9005834920 is an apocalyptic number.

It is an amenable number.

9005834920 is an abundant number, since it is smaller than the sum of its proper divisors (12138301400).

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

9005834920 is a wasteful number, since it uses less digits than its factorization.

9005834920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9788985 (or 9788981 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 9005834920 is about 94899.0775508382. The cubic root of 9005834920 is about 2080.5332490043.

The spelling of 9005834920 in words is "nine billion, five million, eight hundred thirty-four thousand, nine hundred twenty".