1968792917 has 32 divisors (see below), whose sum is σ = 2482099200. Its totient is φ = 1520022528.

The previous prime is 1968792913. The next prime is 1968792937. The reversal of 1968792917 is 7192978691.

It is a cyclic number.

It is not a de Polignac number, because 1968792917 - 2² = 1968792913 is a prime.

It is a super-2 number, since 2×1968792917² = 7752291100058737778, which contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968792913) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2433209 + ... + 2434017.

It is an arithmetic number, because the mean of its divisors is an integer number (77565600).

Almost surely, 2^1968792917 is an apocalyptic number.

It is an amenable number.

1968792917 is a deficient number, since it is larger than the sum of its proper divisors (513306283).

1968792917 is a wasteful number, since it uses less digits than its factorization.

1968792917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445.

The product of its digits is 3429216, while the sum is 59.

The square root of 1968792917 is about 44371.0819904135. The cubic root of 1968792917 is about 1253.3335907949. Note that the first 3 decimals are identical.

The spelling of 1968792917 in words is "one billion, nine hundred sixty-eight million, seven hundred ninety-two thousand, nine hundred seventeen".