852584568 has 128 divisors (see below), whose sum is σ = 2527027200. Its totient is φ = 236822400.

The previous prime is 852584567. The next prime is 852584573. The reversal of 852584568 is 865485258.

It is a self number, because there is not a number n which added to its sum of digits gives 852584568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852584563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152755 + ... + 158237.

It is an arithmetic number, because the mean of its divisors is an integer number (19742400).

Almost surely, 2^852584568 is an apocalyptic number.

852584568 is a gapful number since it is divisible by the number (88) 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 852584568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263513600).

852584568 is an abundant number, since it is smaller than the sum of its proper divisors (1674442632).

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

852584568 is a wasteful number, since it uses less digits than its factorization.

852584568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5549 counting only the distinct ones).

The product of its digits is 3072000, while the sum is 51.

The square root of 852584568 is about 29199.0508064903. The cubic root of 852584568 is about 948.2273751814.

The spelling of 852584568 in words is "eight hundred fifty-two million, five hundred eighty-four thousand, five hundred sixty-eight".