127845648 has 160 divisors (see below), whose sum is σ = 426321920. Its totient is φ = 35925120.

The previous prime is 127845637. The next prime is 127845649. The reversal of 127845648 is 846548721.

127845648 is a `hidden beast` number, since 1 + 2 + 7 + 84 + 564 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127845649) 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 31 ways as a sum of consecutive naturals, for example, 202293 + ... + 202923.

It is an arithmetic number, because the mean of its divisors is an integer number (2664512).

Almost surely, 2^127845648 is an apocalyptic number.

127845648 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 127845648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213160960).

127845648 is an abundant number, since it is smaller than the sum of its proper divisors (298476272).

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

127845648 is a wasteful number, since it uses less digits than its factorization.

127845648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 710 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 127845648 is about 11306.8849821691. The cubic root of 127845648 is about 503.7657641708.

The spelling of 127845648 in words is "one hundred twenty-seven million, eight hundred forty-five thousand, six hundred forty-eight".