1268167681 has 16 divisors (see below), whose sum is σ = 1394285760. Its totient is φ = 1143889920.

The previous prime is 1268167633. The next prime is 1268167687. The reversal of 1268167681 is 1867618621.

It is a cyclic number.

It is not a de Polignac number, because 1268167681 - 2⁷ = 1268167553 is a prime.

It is a super-2 number, since 2×1268167681² = 3216498534265835522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1268167687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1364625 + ... + 1365553.

It is an arithmetic number, because the mean of its divisors is an integer number (87142860).

Almost surely, 2^1268167681 is an apocalyptic number.

1268167681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1268167681 is a deficient number, since it is larger than the sum of its proper divisors (126118079).

1268167681 is a wasteful number, since it uses less digits than its factorization.

1268167681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776.

The product of its digits is 193536, while the sum is 46.

The square root of 1268167681 is about 35611.3420275058. The cubic root of 1268167681 is about 1082.4110745186.

The spelling of 1268167681 in words is "one billion, two hundred sixty-eight million, one hundred sixty-seven thousand, six hundred eighty-one".