1316695968 has 288 divisors, whose sum is σ = 4587238656. Its totient is φ = 349691904.

The previous prime is 1316695957. The next prime is 1316695997. The reversal of 1316695968 is 8695966131.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 3529830 + ... + 3530202.

It is an arithmetic number, because the mean of its divisors is an integer number (15927912).

Almost surely, 2^1316695968 is an apocalyptic number.

1316695968 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 1316695968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293619328).

1316695968 is an abundant number, since it is smaller than the sum of its proper divisors (3270542688).

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

1316695968 is a wasteful number, since it uses less digits than its factorization.

1316695968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 1316695968 is about 36286.3055159932. The cubic root of 1316695968 is about 1096.0452944500.

The spelling of 1316695968 in words is "one billion, three hundred sixteen million, six hundred ninety-five thousand, nine hundred sixty-eight".