1267108480 has 128 divisors (see below), whose sum is σ = 3478852800. Its totient is φ = 436469760.

The previous prime is 1267108463. The next prime is 1267108483. The reversal of 1267108480 is 848017621.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1267108483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129024 + ... + 138496.

Almost surely, 2^1267108480 is an apocalyptic number.

1267108480 is a gapful number since it is divisible by the number (10) 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 1267108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739426400).

1267108480 is an abundant number, since it is smaller than the sum of its proper divisors (2211744320).

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

1267108480 is a wasteful number, since it uses less digits than its factorization.

1267108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9522 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 1267108480 is about 35596.4672404440. The cubic root of 1267108480 is about 1082.1096395561.

The spelling of 1267108480 in words is "one billion, two hundred sixty-seven million, one hundred eight thousand, four hundred eighty".