1296149008 has 80 divisors (see below), whose sum is σ = 3166404480. Its totient is φ = 499276800.

The previous prime is 1296148991. The next prime is 1296149027. The reversal of 1296149008 is 8009416921.

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 15 ways as a sum of consecutive naturals, for example, 103738 + ... + 115558.

It is an arithmetic number, because the mean of its divisors is an integer number (39580056).

Almost surely, 2^1296149008 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 1296149008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583202240).

1296149008 is an abundant number, since it is smaller than the sum of its proper divisors (1870255472).

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

1296149008 is a wasteful number, since it uses less digits than its factorization.

1296149008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11936 (or 11930 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 1296149008 is about 36002.0694960720. The cubic root of 1296149008 is about 1090.3141388982.

The spelling of 1296149008 in words is "one billion, two hundred ninety-six million, one hundred forty-nine thousand, eight".