1305984768 has 72 divisors (see below), whose sum is σ = 3791832576. Its totient is φ = 395750400.

The previous prime is 1305984763. The next prime is 1305984769. The reversal of 1305984768 is 8674895031.

It is a self number, because there is not a number n which added to its sum of digits gives 1305984768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305984763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 68848 + ... + 85743.

Almost surely, 2^1305984768 is an apocalyptic number.

It is an amenable number.

1305984768 is an abundant number, since it is smaller than the sum of its proper divisors (2485847808).

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

1305984768 is a wasteful number, since it uses less digits than its factorization.

1305984768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154621 (or 154607 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 1305984768 is about 36138.4112545087. The cubic root of 1305984768 is about 1093.0651229199.

The spelling of 1305984768 in words is "one billion, three hundred five million, nine hundred eighty-four thousand, seven hundred sixty-eight".