1208813824 has 81 divisors (see below), whose sum is σ = 2520736939. Its totient is φ = 578539520.

The previous prime is 1208813803. The next prime is 1208813831. The reversal of 1208813824 is 4283188021.

The square root of 1208813824 is 34768.

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

It can be written as a sum of positive squares in 4 ways, for example, as 130873600 + 1077940224 = 11440^2 + 32832^2 .

It is a super-2 number, since 2×1208813824² = 2922461722187005952, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22807782 + ... + 22807834.

Almost surely, 2^1208813824 is an apocalyptic number.

1208813824 is the 34768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1208813824

1208813824 is an abundant number, since it is smaller than the sum of its proper divisors (1311923115).

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

1208813824 is an frugal number, since it uses more digits than its factorization.

1208813824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The cubic root of 1208813824 is about 1065.2539158138.

The spelling of 1208813824 in words is "one billion, two hundred eight million, eight hundred thirteen thousand, eight hundred twenty-four".