127284256 has 72 divisors (see below), whose sum is σ = 279925632. Its totient is φ = 56918400.

The previous prime is 127284229. The next prime is 127284259. The reversal of 127284256 is 652482721.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (127284259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274681 + ... + 275143.

It is an arithmetic number, because the mean of its divisors is an integer number (3887856).

Almost surely, 2^127284256 is an apocalyptic number.

127284256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127284256 is the 6031-st centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127284256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139962816).

127284256 is an abundant number, since it is smaller than the sum of its proper divisors (152641376).

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

127284256 is a wasteful number, since it uses less digits than its factorization.

127284256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 547 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 127284256 is about 11282.0324410099. The cubic root of 127284256 is about 503.0273084813.

The spelling of 127284256 in words is "one hundred twenty-seven million, two hundred eighty-four thousand, two hundred fifty-six".