127705060 has 48 divisors (see below), whose sum is σ = 307722240. Its totient is φ = 43608960.

The previous prime is 127705057. The next prime is 127705103. The reversal of 127705060 is 60507721.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35965 + ... + 39355.

It is an arithmetic number, because the mean of its divisors is an integer number (6410880).

Almost surely, 2^127705060 is an apocalyptic number.

127705060 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 127705060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153861120).

127705060 is an abundant number, since it is smaller than the sum of its proper divisors (180017180).

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

127705060 is a wasteful number, since it uses less digits than its factorization.

127705060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 127705060 is about 11300.6663520343. Note that the first 3 decimals coincide. The cubic root of 127705060 is about 503.5810377734.

The spelling of 127705060 in words is "one hundred twenty-seven million, seven hundred five thousand, sixty".