127656648 has 224 divisors, whose sum is σ = 424958400. Its totient is φ = 35178624.

The previous prime is 127656643. The next prime is 127656673. The reversal of 127656648 is 846656721.

127656648 is a `hidden beast` number, since 12 + 76 + 566 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (127656643) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2163643 + ... + 2163701.

Almost surely, 2^127656648 is an apocalyptic number.

127656648 is a gapful number since it is divisible by the number (18) 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 127656648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212479200).

127656648 is an abundant number, since it is smaller than the sum of its proper divisors (297301752).

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

127656648 is an equidigital number, since it uses as much as digits as its factorization.

127656648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 127656648 is about 11298.5241514102. The cubic root of 127656648 is about 503.5173951725.

The spelling of 127656648 in words is "one hundred twenty-seven million, six hundred fifty-six thousand, six hundred forty-eight".