1291736768 has 112 divisors (see below), whose sum is σ = 3043903488. Its totient is φ = 532224000.

The previous prime is 1291736759. The next prime is 1291736791. The reversal of 1291736768 is 8676371921.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3902363 + ... + 3902693.

Almost surely, 2^1291736768 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 1291736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521951744).

1291736768 is an abundant number, since it is smaller than the sum of its proper divisors (1752166720).

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

1291736768 is a wasteful number, since it uses less digits than its factorization.

1291736768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its digits is 762048, while the sum is 50.

The square root of 1291736768 is about 35940.7396696284. The cubic root of 1291736768 is about 1089.0755475711.

The spelling of 1291736768 in words is "one billion, two hundred ninety-one million, seven hundred thirty-six thousand, seven hundred sixty-eight".