8689120128 has 672 divisors, whose sum is σ = 30602907000. Its totient is φ = 2445520896.

The previous prime is 8689120127. The next prime is 8689120199. The reversal of 8689120128 is 8210219868.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8689120127) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 299624818 + ... + 299624846.

Almost surely, 2^8689120128 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 8689120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15301453500).

8689120128 is an abundant number, since it is smaller than the sum of its proper divisors (21913786872).

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

8689120128 is a wasteful number, since it uses less digits than its factorization.

8689120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 8689120128 is about 93215.4500498710. The cubic root of 8689120128 is about 2055.8524121021.

The spelling of 8689120128 in words is "eight billion, six hundred eighty-nine million, one hundred twenty thousand, one hundred twenty-eight".