1316808000 has 168 divisors, whose sum is σ = 4710699240. Its totient is φ = 351129600.

The previous prime is 1316807953. The next prime is 1316808001. The reversal of 1316808000 is 8086131.

It can be written as a sum of positive squares in 4 ways, for example, as 19079424 + 1297728576 = 4368^2 + 36024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316808001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62856 + ... + 81144.

Almost surely, 2^1316808000 is an apocalyptic number.

1316808000 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 1316808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355349620).

1316808000 is an abundant number, since it is smaller than the sum of its proper divisors (3393891240).

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

1316808000 is a wasteful number, since it uses less digits than its factorization.

1316808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18322 (or 18299 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1316808000 is about 36287.8492060359. The cubic root of 1316808000 is about 1096.0763794960.

The spelling of 1316808000 in words is "one billion, three hundred sixteen million, eight hundred eight thousand".