8589220416 has 336 divisors, whose sum is σ = 29122689024. Its totient is φ = 2369461248.

The previous prime is 8589220361. The next prime is 8589220417. The reversal of 8589220416 is 6140229858.

8589220416 is a `hidden beast` number, since 8 + 5 + 8 + 9 + 220 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (8589220417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18551001 + ... + 18551463.

Almost surely, 2^8589220416 is an apocalyptic number.

8589220416 is a gapful number since it is divisible by the number (86) 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 8589220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561344512).

8589220416 is an abundant number, since it is smaller than the sum of its proper divisors (20533468608).

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

8589220416 is a wasteful number, since it uses less digits than its factorization.

8589220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 625 counting only the distinct ones).

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

The square root of 8589220416 is about 92678.0471093344. The cubic root of 8589220416 is about 2047.9432408179.

The spelling of 8589220416 in words is "eight billion, five hundred eighty-nine million, two hundred twenty thousand, four hundred sixteen".