127939840 has 144 divisors (see below), whose sum is σ = 356146560. Its totient is φ = 43130880.

The previous prime is 127939829. The next prime is 127939849. The reversal of 127939840 is 48939721.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127939849) 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, 976575 + ... + 976705.

It is an arithmetic number, because the mean of its divisors is an integer number (2473240).

Almost surely, 2^127939840 is an apocalyptic number.

127939840 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 127939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178073280).

127939840 is an abundant number, since it is smaller than the sum of its proper divisors (228206720).

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

127939840 is a wasteful number, since it uses less digits than its factorization.

127939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 127939840 is about 11311.0494650143. The cubic root of 127939840 is about 503.8894525326.

The spelling of 127939840 in words is "one hundred twenty-seven million, nine hundred thirty-nine thousand, eight hundred forty".