1306568320 has 256 divisors, whose sum is σ = 3539440800. Its totient is φ = 458752000.

The previous prime is 1306568317. The next prime is 1306568323. The reversal of 1306568320 is 238656031.

It is an interprime number because it is at equal distance from previous prime (1306568317) and next prime (1306568323).

It can be written as a sum of positive squares in 16 ways, for example, as 292273216 + 1014295104 = 17096^2 + 31848^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1306568323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12936270 + ... + 12936370.

Almost surely, 2^1306568320 is an apocalyptic number.

1306568320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769720400).

1306568320 is an abundant number, since it is smaller than the sum of its proper divisors (2232872480).

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

1306568320 is a wasteful number, since it uses less digits than its factorization.

1306568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 1306568320 is about 36146.4841997116. The cubic root of 1306568320 is about 1093.2279031128.

The spelling of 1306568320 in words is "one billion, three hundred six million, five hundred sixty-eight thousand, three hundred twenty".