1267259904 has 100 divisors (see below), whose sum is σ = 3782560914. Its totient is φ = 422406144.

The previous prime is 1267259899. The next prime is 1267259941. The reversal of 1267259904 is 4099527621.

It can be written as a sum of positive squares in only one way, i.e., 1244678400 + 22581504 = 35280^2 + 4752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1267259904.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 26194 + ... + 56750.

Almost surely, 2^1267259904 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 1267259904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891280457).

1267259904 is an abundant number, since it is smaller than the sum of its proper divisors (2515301010).

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

1267259904 is an frugal number, since it uses more digits than its factorization.

1267259904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30587 (or 30562 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1267259904 is about 35598.5941295439. The cubic root of 1267259904 is about 1082.1527431645.

The spelling of 1267259904 in words is "one billion, two hundred sixty-seven million, two hundred fifty-nine thousand, nine hundred four".