1267416267 has 16 divisors (see below), whose sum is σ = 1824049920. Its totient is φ = 778161312.

The previous prime is 1267416257. The next prime is 1267416361. The reversal of 1267416267 is 7626147621.

It is not a de Polignac number, because 1267416267 - 2⁴ = 1267416251 is a prime.

It is a super-3 number, since 3×1267416267³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1267416247) 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, 19893 + ... + 54134.

It is an arithmetic number, because the mean of its divisors is an integer number (114003120).

Almost surely, 2^1267416267 is an apocalyptic number.

1267416267 is a deficient number, since it is larger than the sum of its proper divisors (556633653).

1267416267 is a wasteful number, since it uses less digits than its factorization.

1267416267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74482.

The product of its digits is 169344, while the sum is 42.

The square root of 1267416267 is about 35600.7902580828. The cubic root of 1267416267 is about 1082.1972490811.

The spelling of 1267416267 in words is "one billion, two hundred sixty-seven million, four hundred sixteen thousand, two hundred sixty-seven".