9608880900 has 144 divisors (see below), whose sum is σ = 28798934528. Its totient is φ = 2471040000.

The previous prime is 9608880899. The next prime is 9608880917. The reversal of 9608880900 is 90888069.

9608880900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9608880900.

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 47 ways as a sum of consecutive naturals, for example, 2909250 + ... + 2912550.

Almost surely, 2^9608880900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9608880900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399467264).

9608880900 is an abundant number, since it is smaller than the sum of its proper divisors (19190053628).

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

9608880900 is a wasteful number, since it uses less digits than its factorization.

9608880900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 9608880900 is about 98024.8993878596. The cubic root of 9608880900 is about 2125.9723089092.

The spelling of 9608880900 in words is "nine billion, six hundred eight million, eight hundred eighty thousand, nine hundred".