8122852584 has 256 divisors, whose sum is σ = 28289433600. Its totient is φ = 2097964800.

The previous prime is 8122852487. The next prime is 8122852627. The reversal of 8122852584 is 4852582218.

8122852584 is a `hidden beast` number, since 8 + 12 + 2 + 8 + 52 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3175434 + ... + 3177990.

It is an arithmetic number, because the mean of its divisors is an integer number (110505600).

Almost surely, 2^8122852584 is an apocalyptic number.

8122852584 is a gapful number since it is divisible by the number (84) 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 8122852584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14144716800).

8122852584 is an abundant number, since it is smaller than the sum of its proper divisors (20166581016).

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

8122852584 is a wasteful number, since it uses less digits than its factorization.

8122852584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2771 counting only the distinct ones).

The product of its digits is 409600, while the sum is 45.

The square root of 8122852584 is about 90126.8693786709. The cubic root of 8122852584 is about 2010.1857524925.

The spelling of 8122852584 in words is "eight billion, one hundred twenty-two million, eight hundred fifty-two thousand, five hundred eighty-four".