8582835264 has 112 divisors (see below), whose sum is σ = 23191671168. Its totient is φ = 2800365568.

The previous prime is 8582835263. The next prime is 8582835281. The reversal of 8582835264 is 4625382858.

It is a super-2 number, since 2×8582835264² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8582835263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6277909 + ... + 6279275.

Almost surely, 2^8582835264 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 8582835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11595835584).

8582835264 is an abundant number, since it is smaller than the sum of its proper divisors (14608835904).

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

8582835264 is a wasteful number, since it uses less digits than its factorization.

8582835264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2042 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The square root of 8582835264 is about 92643.5926764501. The cubic root of 8582835264 is about 2047.4356405978.

The spelling of 8582835264 in words is "eight billion, five hundred eighty-two million, eight hundred thirty-five thousand, two hundred sixty-four".