1321883264 has 64 divisors (see below), whose sum is σ = 2849217000. Its totient is φ = 607260672.

The previous prime is 1321883239. The next prime is 1321883293. The reversal of 1321883264 is 4623881231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 854977600 + 466905664 = 29240^2 + 21608^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 379322 + ... + 382790.

Almost surely, 2^1321883264 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 1321883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424608500).

1321883264 is an abundant number, since it is smaller than the sum of its proper divisors (1527333736).

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

1321883264 is a wasteful number, since it uses less digits than its factorization.

1321883264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3713 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 1321883264 is about 36357.7125793139. The cubic root of 1321883264 is about 1097.4827463590.

The spelling of 1321883264 in words is "one billion, three hundred twenty-one million, eight hundred eighty-three thousand, two hundred sixty-four".