1296771540 has 144 divisors (see below), whose sum is σ = 3886471680. Its totient is φ = 322721280.

The previous prime is 1296771529. The next prime is 1296771547. The reversal of 1296771540 is 451776921.

It is a happy number.

1296771540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1296771492 and 1296771501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296771547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563846 + ... + 1564674.

Almost surely, 2^1296771540 is an apocalyptic number.

1296771540 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 1296771540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943235840).

1296771540 is an abundant number, since it is smaller than the sum of its proper divisors (2589700140).

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

1296771540 is a wasteful number, since it uses less digits than its factorization.

1296771540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 1296771540 is about 36010.7142389595. The cubic root of 1296771540 is about 1090.4886679066.

The spelling of 1296771540 in words is "one billion, two hundred ninety-six million, seven hundred seventy-one thousand, five hundred forty".