9003585680 has 20 divisors (see below), whose sum is σ = 20933336892. Its totient is φ = 3601434240.

The previous prime is 9003585653. The next prime is 9003585683. The reversal of 9003585680 is 865853009.

It can be written as a sum of positive squares in 2 ways, for example, as 5768706304 + 3234879376 = 75952^2 + 56876^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (9003585683) 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 3 ways as a sum of consecutive naturals, for example, 56272331 + ... + 56272490.

Almost surely, 2^9003585680 is an apocalyptic number.

It is an amenable number.

9003585680 is an abundant number, since it is smaller than the sum of its proper divisors (11929751212).

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

9003585680 is a wasteful number, since it uses less digits than its factorization.

9003585680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112544834 (or 112544828 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 9003585680 is about 94887.2261160584. The cubic root of 9003585680 is about 2080.3600276693.

The spelling of 9003585680 in words is "nine billion, three million, five hundred eighty-five thousand, six hundred eighty".