127380960 has 144 divisors (see below), whose sum is σ = 496825056. Its totient is φ = 29113344.

The previous prime is 127380947. The next prime is 127380961. The reversal of 127380960 is 69083721.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127380961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3762 + ... + 16398.

It is an arithmetic number, because the mean of its divisors is an integer number (3450174).

Almost surely, 2^127380960 is an apocalyptic number.

127380960 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 127380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248412528).

127380960 is an abundant number, since it is smaller than the sum of its proper divisors (369444096).

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

127380960 is a wasteful number, since it uses less digits than its factorization.

127380960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12665 (or 12654 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 127380960 is about 11286.3173799074. The cubic root of 127380960 is about 503.1546676177.

The spelling of 127380960 in words is "one hundred twenty-seven million, three hundred eighty thousand, nine hundred sixty".