8585875600 has 135 divisors (see below), whose sum is σ = 21331710049. Its totient is φ = 3320934400.

The previous prime is 8585875499. The next prime is 8585875603. The reversal of 8585875600 is 65785858.

The square root of 8585875600 is 92660.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6063425424 + 2522450176 = 77868^2 + 50224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8585875603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75981144 + ... + 75981256.

Almost surely, 2^8585875600 is an apocalyptic number.

8585875600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8585875600 is the 92660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8585875600

8585875600 is an abundant number, since it is smaller than the sum of its proper divisors (12745834449).

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

8585875600 is a wasteful number, since it uses less digits than its factorization.

8585875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 52.

The cubic root of 8585875600 is about 2047.6773694755.

The spelling of 8585875600 in words is "eight billion, five hundred eighty-five million, eight hundred seventy-five thousand, six hundred".