1264123808 has 144 divisors (see below), whose sum is σ = 2867110344. Its totient is φ = 546324480.

The previous prime is 1264123709. The next prime is 1264123811. The reversal of 1264123808 is 8083214621.

It can be written as a sum of positive squares in 4 ways, for example, as 820937104 + 443186704 = 28652^2 + 21052^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8051666 + ... + 8051822.

Almost surely, 2^1264123808 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 1264123808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433555172).

1264123808 is an abundant number, since it is smaller than the sum of its proper divisors (1602986536).

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

1264123808 is a wasteful number, since it uses less digits than its factorization.

1264123808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 1264123808 is about 35554.5188126629. The cubic root of 1264123808 is about 1081.2593357342.

The spelling of 1264123808 in words is "one billion, two hundred sixty-four million, one hundred twenty-three thousand, eight hundred eight".