1271032560 has 300 divisors, whose sum is σ = 5136499368. Its totient is φ = 290449152.

The previous prime is 1271032517. The next prime is 1271032577. The reversal of 1271032560 is 652301721.

It is a happy number.

1271032560 is a `hidden beast` number, since 1 + 2 + 71 + 0 + 32 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 315519 + ... + 319521.

Almost surely, 2^1271032560 is an apocalyptic number.

1271032560 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 1271032560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568249684).

1271032560 is an abundant number, since it is smaller than the sum of its proper divisors (3865466808).

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

1271032560 is a wasteful number, since it uses less digits than its factorization.

1271032560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1271032560 is about 35651.5435850960. The cubic root of 1271032560 is about 1083.2255421483.

The spelling of 1271032560 in words is "one billion, two hundred seventy-one million, thirty-two thousand, five hundred sixty".