8311604224 has 297 divisors, whose sum is σ = 21834257949. Its totient is φ = 3150766080.

The previous prime is 8311604219. The next prime is 8311604239. The reversal of 8311604224 is 4224061138.

The square root of 8311604224 is 91168.

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

It can be written as a sum of positive squares in only one way, i.e., 7437337600 + 874266624 = 86240^2 + 29568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 224637934 + ... + 224637970.

Almost surely, 2^8311604224 is an apocalyptic number.

8311604224 is the 91168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8311604224

8311604224 is an abundant number, since it is smaller than the sum of its proper divisors (13522653725).

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

8311604224 is a wasteful number, since it uses less digits than its factorization.

8311604224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The cubic root of 8311604224 is about 2025.6369869468.

Multiplying 8311604224 by its product of nonzero digits (9216), we get a square (76599744528384 = 8752128²).

The spelling of 8311604224 in words is "eight billion, three hundred eleven million, six hundred four thousand, two hundred twenty-four".