9003067920 has 1440 divisors, whose sum is σ = 42866006400. Its totient is φ = 1724405760.

The previous prime is 9003067907. The next prime is 9003067921. The reversal of 9003067920 is 297603009.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9003067921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 243326142 + ... + 243326178.

It is an arithmetic number, because the mean of its divisors is an integer number (29768060).

Almost surely, 2^9003067920 is an apocalyptic number.

9003067920 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 9003067920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21433003200).

9003067920 is an abundant number, since it is smaller than the sum of its proper divisors (33862938480).

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

9003067920 is a wasteful number, since it uses less digits than its factorization.

9003067920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9003067920 is about 94884.4977854655. The cubic root of 9003067920 is about 2080.3201491922.

The spelling of 9003067920 in words is "nine billion, three million, sixty-seven thousand, nine hundred twenty".