127688664 has 64 divisors (see below), whose sum is σ = 339292800. Its totient is φ = 39930624.

The previous prime is 127688647. The next prime is 127688681. The reversal of 127688664 is 466886721.

It is an interprime number because it is at equal distance from previous prime (127688647) and next prime (127688681).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47484 + ... + 50100.

It is an arithmetic number, because the mean of its divisors is an integer number (5301450).

Almost surely, 2^127688664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127688664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169646400).

127688664 is an abundant number, since it is smaller than the sum of its proper divisors (211604136).

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

127688664 is a wasteful number, since it uses less digits than its factorization.

127688664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2748 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 127688664 is about 11299.9408848011. The cubic root of 127688664 is about 503.5594853304.

The spelling of 127688664 in words is "one hundred twenty-seven million, six hundred eighty-eight thousand, six hundred sixty-four".