1306827368 has 64 divisors (see below), whose sum is σ = 3059596800. Its totient is φ = 508374720.

The previous prime is 1306827367. The next prime is 1306827371. The reversal of 1306827368 is 8637286031.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1306827367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557543 + ... + 559881.

It is an arithmetic number, because the mean of its divisors is an integer number (47806200).

Almost surely, 2^1306827368 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 1306827368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529798400).

1306827368 is an abundant number, since it is smaller than the sum of its proper divisors (1752769432).

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

1306827368 is a wasteful number, since it uses less digits than its factorization.

1306827368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 1306827368 is about 36150.0673305044. The cubic root of 1306827368 is about 1093.3001482921.

The spelling of 1306827368 in words is "one billion, three hundred six million, eight hundred twenty-seven thousand, three hundred sixty-eight".