8909834880 has 128 divisors (see below), whose sum is σ = 28760083200. Its totient is φ = 2345840640.

The previous prime is 8909834851. The next prime is 8909834881. The reversal of 8909834880 is 884389098.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8909834880² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8909834880.

It is not an unprimeable number, because it can be changed into a prime (8909834881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122310 + ... + 181050.

It is an arithmetic number, because the mean of its divisors is an integer number (224688150).

Almost surely, 2^8909834880 is an apocalyptic number.

8909834880 is a gapful number since it is divisible by the number (80) 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 8909834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14380041600).

8909834880 is an abundant number, since it is smaller than the sum of its proper divisors (19850248320).

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

8909834880 is a wasteful number, since it uses less digits than its factorization.

8909834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58842 (or 58830 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The square root of 8909834880 is about 94391.9216882462. The cubic root of 8909834880 is about 2073.1141625372.

The spelling of 8909834880 in words is "eight billion, nine hundred nine million, eight hundred thirty-four thousand, eight hundred eighty".