1268764417 has 16 divisors (see below), whose sum is σ = 1357627392. Its totient is φ = 1181537280.

The previous prime is 1268764397. The next prime is 1268764423. The reversal of 1268764417 is 7144678621.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1268764417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1268764457) 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 15 ways as a sum of consecutive naturals, for example, 1279792 + ... + 1280782.

It is an arithmetic number, because the mean of its divisors is an integer number (84851712).

Almost surely, 2^1268764417 is an apocalyptic number.

1268764417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1268764417 is a deficient number, since it is larger than the sum of its proper divisors (88862975).

1268764417 is a wasteful number, since it uses less digits than its factorization.

1268764417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728.

The product of its digits is 451584, while the sum is 46.

The square root of 1268764417 is about 35619.7194963689. The cubic root of 1268764417 is about 1082.5808239872.

The spelling of 1268764417 in words is "one billion, two hundred sixty-eight million, seven hundred sixty-four thousand, four hundred seventeen".