1316830608 has 280 divisors, whose sum is σ = 4208268600. Its totient is φ = 397135872.

The previous prime is 1316830597. The next prime is 1316830639. The reversal of 1316830608 is 8060386131.

1316830608 is a `hidden beast` number, since 1 + 3 + 16 + 8 + 30 + 608 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 694427904 + 622402704 = 26352^2 + 24948^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 5750238 + ... + 5750466.

Almost surely, 2^1316830608 is an apocalyptic number.

1316830608 is a gapful number since it is divisible by the number (18) 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 1316830608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104134300).

1316830608 is an abundant number, since it is smaller than the sum of its proper divisors (2891437992).

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

1316830608 is a wasteful number, since it uses less digits than its factorization.

1316830608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1316830608 is about 36288.1607139298. The cubic root of 1316830608 is about 1096.0826522285.

The spelling of 1316830608 in words is "one billion, three hundred sixteen million, eight hundred thirty thousand, six hundred eight".