1267906640 has 320 divisors, whose sum is σ = 4031741952. Its totient is φ = 358041600.

The previous prime is 1267906561. The next prime is 1267906649. The reversal of 1267906640 is 466097621.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267906649) 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 63 ways as a sum of consecutive naturals, for example, 5685569 + ... + 5685791.

Almost surely, 2^1267906640 is an apocalyptic number.

1267906640 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 1267906640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015870976).

1267906640 is an abundant number, since it is smaller than the sum of its proper divisors (2763835312).

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

1267906640 is a wasteful number, since it uses less digits than its factorization.

1267906640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 1267906640 is about 35607.6767003971. The cubic root of 1267906640 is about 1082.3368012021.

The spelling of 1267906640 in words is "one billion, two hundred sixty-seven million, nine hundred six thousand, six hundred forty".