127385440 has 144 divisors (see below), whose sum is σ = 372986208. Its totient is φ = 40255488.

The previous prime is 127385411. The next prime is 127385459. The reversal of 127385440 is 44583721.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 127385396 and 127385405.

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 23 ways as a sum of consecutive naturals, for example, 188944 + ... + 189616.

It is an arithmetic number, because the mean of its divisors is an integer number (2590182).

Almost surely, 2^127385440 is an apocalyptic number.

127385440 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 127385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186493104).

127385440 is an abundant number, since it is smaller than the sum of its proper divisors (245600768).

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

127385440 is a wasteful number, since it uses less digits than its factorization.

127385440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 127385440 is about 11286.5158485690. The cubic root of 127385440 is about 503.1605662138.

The spelling of 127385440 in words is "one hundred twenty-seven million, three hundred eighty-five thousand, four hundred forty".