1267158816 has 360 divisors, whose sum is σ = 4734431856. Its totient is φ = 328769280.

The previous prime is 1267158793. The next prime is 1267158881. The reversal of 1267158816 is 6188517621.

1267158816 is a `hidden beast` number, since 1 + 2 + 67 + 1 + 588 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1396635 + ... + 1397541.

Almost surely, 2^1267158816 is an apocalyptic number.

1267158816 is a gapful number since it is divisible by the number (16) 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 1267158816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367215928).

1267158816 is an abundant number, since it is smaller than the sum of its proper divisors (3467273040).

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

1267158816 is a wasteful number, since it uses less digits than its factorization.

1267158816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 930 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 1267158816 is about 35597.1742698771. The cubic root of 1267158816 is about 1082.1239683344.

It can be divided in two parts, 126715 and 8816, that added together give a palindrome (135531).

The spelling of 1267158816 in words is "one billion, two hundred sixty-seven million, one hundred fifty-eight thousand, eight hundred sixteen".