1271385984 has 256 divisors, whose sum is σ = 3886444800. Its totient is φ = 364707840.

The previous prime is 1271385979. The next prime is 1271385991. The reversal of 1271385984 is 4895831721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11882059 + ... + 11882165.

It is an arithmetic number, because the mean of its divisors is an integer number (15181425).

Almost surely, 2^1271385984 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 1271385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943222400).

1271385984 is an abundant number, since it is smaller than the sum of its proper divisors (2615058816).

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

1271385984 is a wasteful number, since it uses less digits than its factorization.

1271385984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 1271385984 is about 35656.4998843128. The cubic root of 1271385984 is about 1083.3259336036.

The spelling of 1271385984 in words is "one billion, two hundred seventy-one million, three hundred eighty-five thousand, nine hundred eighty-four".