127840384 has 64 divisors (see below), whose sum is σ = 295963200. Its totient is φ = 53867520.

The previous prime is 127840369. The next prime is 127840387. The reversal of 127840384 is 483048721.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (127840387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53487 + ... + 55825.

It is an arithmetic number, because the mean of its divisors is an integer number (4624425).

Almost surely, 2^127840384 is an apocalyptic number.

127840384 is a gapful number since it is divisible by the number (14) 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 127840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147981600).

127840384 is an abundant number, since it is smaller than the sum of its proper divisors (168122816).

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

127840384 is an equidigital number, since it uses as much as digits as its factorization.

127840384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 127840384 is about 11306.6522012486. The cubic root of 127840384 is about 503.7588499493.

The spelling of 127840384 in words is "one hundred twenty-seven million, eight hundred forty thousand, three hundred eighty-four".