127935984 has 80 divisors (see below), whose sum is σ = 362119680. Its totient is φ = 38599680.

The previous prime is 127935967. The next prime is 127935989. The reversal of 127935984 is 489539721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127935989) 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, 177577 + ... + 178295.

It is an arithmetic number, because the mean of its divisors is an integer number (4526496).

Almost surely, 2^127935984 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 127935984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).

127935984 is an abundant number, since it is smaller than the sum of its proper divisors (234183696).

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

127935984 is a wasteful number, since it uses less digits than its factorization.

127935984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1072 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 127935984 is about 11310.8790109346. The cubic root of 127935984 is about 503.8843902126.

The spelling of 127935984 in words is "one hundred twenty-seven million, nine hundred thirty-five thousand, nine hundred eighty-four".