127636016 has 40 divisors (see below), whose sum is σ = 260173824. Its totient is φ = 60540480.

The previous prime is 127636007. The next prime is 127636027. The reversal of 127636016 is 610636721.

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 7 ways as a sum of consecutive naturals, for example, 45371 + ... + 48101.

Almost surely, 2^127636016 is an apocalyptic number.

127636016 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 127636016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130086912).

127636016 is an abundant number, since it is smaller than the sum of its proper divisors (132537808).

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

127636016 is a wasteful number, since it uses less digits than its factorization.

127636016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 127636016 is about 11297.6110749131. The cubic root of 127636016 is about 503.4902673762.

The spelling of 127636016 in words is "one hundred twenty-seven million, six hundred thirty-six thousand, sixteen".