9584801604 has 315 divisors, whose sum is σ = 30152644557. Its totient is φ = 2664500832.

The previous prime is 9584801593. The next prime is 9584801621. The reversal of 9584801604 is 4061084859.

The square root of 9584801604 is 97902.

It is a perfect power (a square), and thus also a powerful number.

9584801604 is a `hidden beast` number, since 9 + 5 + 8 + 480 + 160 + 4 = 666.

9584801604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8576612100 + 1008189504 = 92610^2 + 31752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9584801604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 259048674 + ... + 259048710.

Almost surely, 2^9584801604 is an apocalyptic number.

9584801604 is the 97902-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9584801604

9584801604 is an abundant number, since it is smaller than the sum of its proper divisors (20567842953).

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

9584801604 is an frugal number, since it uses more digits than its factorization.

9584801604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The cubic root of 9584801604 is about 2124.1949691752.

The spelling of 9584801604 in words is "nine billion, five hundred eighty-four million, eight hundred one thousand, six hundred four".