127228608 has 126 divisors (see below), whose sum is σ = 395189964. Its totient is φ = 39117312.

The previous prime is 127228583. The next prime is 127228609. The reversal of 127228608 is 806822721.

It is a happy number.

127228608 is a `hidden beast` number, since 1 + 27 + 2 + 28 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (127228609) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 96691 + ... + 97997.

Almost surely, 2^127228608 is an apocalyptic number.

127228608 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 127228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197594982).

127228608 is an abundant number, since it is smaller than the sum of its proper divisors (267961356).

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

127228608 is a wasteful number, since it uses less digits than its factorization.

127228608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 127228608 is about 11279.5659490957. The cubic root of 127228608 is about 502.9539908406.

The spelling of 127228608 in words is "one hundred twenty-seven million, two hundred twenty-eight thousand, six hundred eight".