1271882976 has 384 divisors, whose sum is σ = 4352818176. Its totient is φ = 316293120.

The previous prime is 1271882951. The next prime is 1271882981. The reversal of 1271882976 is 6792881721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18983295 + ... + 18983361.

It is an arithmetic number, because the mean of its divisors is an integer number (11335464).

Almost surely, 2^1271882976 is an apocalyptic number.

1271882976 is a gapful number since it is divisible by the number (16) 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 1271882976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176409088).

1271882976 is an abundant number, since it is smaller than the sum of its proper divisors (3080935200).

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

1271882976 is a wasteful number, since it uses less digits than its factorization.

1271882976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its digits is 677376, while the sum is 51.

The square root of 1271882976 is about 35663.4683675046. The cubic root of 1271882976 is about 1083.4670746338.

The spelling of 1271882976 in words is "one billion, two hundred seventy-one million, eight hundred eighty-two thousand, nine hundred seventy-six".