8243187264 has 315 divisors, whose sum is σ = 26735214627. Its totient is φ = 2510217216.

The previous prime is 8243187257. The next prime is 8243187287. The reversal of 8243187264 is 4627813428.

It is a happy number.

The square root of 8243187264 is 90792.

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

8243187264 is a `hidden beast` number, since 82 + 431 + 87 + 2 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1506060864 + 6737126400 = 38808^2 + 82080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 84981264 + ... + 84981360.

Almost surely, 2^8243187264 is an apocalyptic number.

8243187264 is the 90792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8243187264

8243187264 is an abundant number, since it is smaller than the sum of its proper divisors (18492027363).

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

8243187264 is an equidigital number, since it uses as much as digits as its factorization.

8243187264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 115 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The cubic root of 8243187264 is about 2020.0636571123.

The spelling of 8243187264 in words is "eight billion, two hundred forty-three million, one hundred eighty-seven thousand, two hundred sixty-four".