127961280 has 168 divisors, whose sum is σ = 444502032. Its totient is φ = 33785856.

The previous prime is 127961279. The next prime is 127961303. The reversal of 127961280 is 82169721.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452019 + ... + 452301.

Almost surely, 2^127961280 is an apocalyptic number.

127961280 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 127961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222251016).

127961280 is an abundant number, since it is smaller than the sum of its proper divisors (316540752).

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

127961280 is a wasteful number, since it uses less digits than its factorization.

127961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 127961280 is about 11311.9971711453. The cubic root of 127961280 is about 503.9175980174.

The spelling of 127961280 in words is "one hundred twenty-seven million, nine hundred sixty-one thousand, two hundred eighty".