8535884864 has 56 divisors (see below), whose sum is σ = 18261759768. Its totient is φ = 3935232000.

The previous prime is 8535884849. The next prime is 8535884869. The reversal of 8535884864 is 4684885358.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1036324864 + 7499560000 = 32192^2 + 86600^2 .

It is a super-2 number, since 2×8535884864² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8535884869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 807614 + ... + 818114.

It is an arithmetic number, because the mean of its divisors is an integer number (326102853).

Almost surely, 2^8535884864 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 8535884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9130879884).

8535884864 is an abundant number, since it is smaller than the sum of its proper divisors (9725874904).

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

8535884864 is a wasteful number, since it uses less digits than its factorization.

8535884864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11503 (or 11493 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 59.

The square root of 8535884864 is about 92389.8526029780. The cubic root of 8535884864 is about 2043.6954725463.

The spelling of 8535884864 in words is "eight billion, five hundred thirty-five million, eight hundred eighty-four thousand, eight hundred sixty-four".