127914160 has 80 divisors (see below), whose sum is σ = 327112992. Its totient is φ = 46131200.

The previous prime is 127914107. The next prime is 127914161. The reversal of 127914160 is 61419721.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (127914161) 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, 120030 + ... + 121090.

Almost surely, 2^127914160 is an apocalyptic number.

127914160 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 127914160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163556496).

127914160 is an abundant number, since it is smaller than the sum of its proper divisors (199198832).

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

127914160 is a wasteful number, since it uses less digits than its factorization.

127914160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 127914160 is about 11309.9142348649. The cubic root of 127914160 is about 503.8557368243.

The spelling of 127914160 in words is "one hundred twenty-seven million, nine hundred fourteen thousand, one hundred sixty".