811224324 has 81 divisors (see below), whose sum is σ = 2116102261. Its totient is φ = 262034400.

The previous prime is 811224317. The next prime is 811224331. The reversal of 811224324 is 423422118.

The square root of 811224324 is 28482.

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

It is an interprime number because it is at equal distance from previous prime (811224317) and next prime (811224331).

It can be written as a sum of positive squares in only one way, i.e., 779414724 + 31809600 = 27918^2 + 5640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8031874 + ... + 8031974.

Almost surely, 2^811224324 is an apocalyptic number.

811224324 is the 28482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811224324

811224324 is an abundant number, since it is smaller than the sum of its proper divisors (1304877937).

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

811224324 is a wasteful number, since it uses less digits than its factorization.

811224324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The cubic root of 811224324 is about 932.6391769975.

The spelling of 811224324 in words is "eight hundred eleven million, two hundred twenty-four thousand, three hundred twenty-four".