1267117984 has 192 divisors, whose sum is σ = 3040571520. Its totient is φ = 513146880.

The previous prime is 1267117949. The next prime is 1267117993. The reversal of 1267117984 is 4897117621.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13063024 + ... + 13063120.

It is an arithmetic number, because the mean of its divisors is an integer number (15836310).

Almost surely, 2^1267117984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1267117984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520285760).

1267117984 is an abundant number, since it is smaller than the sum of its proper divisors (1773453536).

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

1267117984 is a wasteful number, since it uses less digits than its factorization.

1267117984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its digits is 169344, while the sum is 46.

The square root of 1267117984 is about 35596.6007365872. The cubic root of 1267117984 is about 1082.1123450188.

The spelling of 1267117984 in words is "one billion, two hundred sixty-seven million, one hundred seventeen thousand, nine hundred eighty-four".