127688640 has 112 divisors (see below), whose sum is σ = 423111168. Its totient is φ = 32564224.

The previous prime is 127688621. The next prime is 127688647. The reversal of 127688640 is 46886721.

It is a junction number, because it is equal to n+sod(n) for n = 127688592 and 127688601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127688647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19189 + ... + 24971.

Almost surely, 2^127688640 is an apocalyptic number.

127688640 is a gapful number since it is divisible by the number (10) 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 127688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211555584).

127688640 is an abundant number, since it is smaller than the sum of its proper divisors (295422528).

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

127688640 is a wasteful number, since it uses less digits than its factorization.

127688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5816 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 127688640 is about 11299.9398228486. The cubic root of 127688640 is about 503.5594537812.

The spelling of 127688640 in words is "one hundred twenty-seven million, six hundred eighty-eight thousand, six hundred forty".