1271761540 has 96 divisors (see below), whose sum is σ = 3195408384. Its totient is φ = 415704960.

The previous prime is 1271761511. The next prime is 1271761541. The reversal of 1271761540 is 451671721.

It is a junction number, because it is equal to n+sod(n) for n = 1271761496 and 1271761505.

It is not an unprimeable number, because it can be changed into a prime (1271761541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1567735 + ... + 1568545.

It is an arithmetic number, because the mean of its divisors is an integer number (33285504).

Almost surely, 2^1271761540 is an apocalyptic number.

1271761540 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 1271761540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597704192).

1271761540 is an abundant number, since it is smaller than the sum of its proper divisors (1923646844).

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

1271761540 is a wasteful number, since it uses less digits than its factorization.

1271761540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 1271761540 is about 35661.7658003638. The cubic root of 1271761540 is about 1083.4325913525.

The spelling of 1271761540 in words is "one billion, two hundred seventy-one million, seven hundred sixty-one thousand, five hundred forty".