9604064106 has 256 divisors, whose sum is σ = 27318574080. Its totient is φ = 2433576960.

The previous prime is 9604064087. The next prime is 9604064209. The reversal of 9604064106 is 6014604069.

9604064106 is a `hidden beast` number, since 9 + 6 + 0 + 4 + 0 + 641 + 0 + 6 = 666.

9604064106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 14707276 + ... + 14707928.

It is an arithmetic number, because the mean of its divisors is an integer number (106713180).

Almost surely, 2^9604064106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9604064106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659287040).

9604064106 is an abundant number, since it is smaller than the sum of its proper divisors (17714509974).

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

9604064106 is a wasteful number, since it uses less digits than its factorization.

9604064106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9604064106 is about 98000.3270708828. The cubic root of 9604064106 is about 2125.6170097381.

The spelling of 9604064106 in words is "nine billion, six hundred four million, sixty-four thousand, one hundred six".