127328656 has 135 divisors (see below), whose sum is σ = 321097473. Its totient is φ = 48746880.

The previous prime is 127328629. The next prime is 127328681. The reversal of 127328656 is 656823721.

The square root of 127328656 is 11284.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18835600 + 108493056 = 4340^2 + 10416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4107361 + ... + 4107391.

Almost surely, 2^127328656 is an apocalyptic number.

127328656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

127328656 is the 11284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127328656

127328656 is an abundant number, since it is smaller than the sum of its proper divisors (193768817).

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

127328656 is a wasteful number, since it uses less digits than its factorization.

127328656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 53 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The cubic root of 127328656 is about 503.0857912735.

It can be divided in two parts, 1273 and 28656, that added together give a square (29929 = 173²).

The spelling of 127328656 in words is "one hundred twenty-seven million, three hundred twenty-eight thousand, six hundred fifty-six".