127666656 has 216 divisors, whose sum is σ = 408864456. Its totient is φ = 37739520.

The previous prime is 127666639. The next prime is 127666663. The reversal of 127666656 is 656666721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2092866 + ... + 2092926.

It is an arithmetic number, because the mean of its divisors is an integer number (1892891).

Almost surely, 2^127666656 is an apocalyptic number.

127666656 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 127666656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204432228).

127666656 is an abundant number, since it is smaller than the sum of its proper divisors (281197800).

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

127666656 is a wasteful number, since it uses less digits than its factorization.

127666656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 127666656 is about 11298.9670324327. The cubic root of 127666656 is about 503.5305530468.

The spelling of 127666656 in words is "one hundred twenty-seven million, six hundred sixty-six thousand, six hundred fifty-six".