127165080 has 128 divisors (see below), whose sum is σ = 445409280. Its totient is φ = 28439040.

The previous prime is 127165021. The next prime is 127165099. The reversal of 127165080 is 80561721.

It is a super-3 number, since 3×127165080³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37870 + ... + 41090.

It is an arithmetic number, because the mean of its divisors is an integer number (3479760).

Almost surely, 2^127165080 is an apocalyptic number.

127165080 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 127165080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222704640).

127165080 is an abundant number, since it is smaller than the sum of its proper divisors (318244200).

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

127165080 is a wasteful number, since it uses less digits than its factorization.

127165080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 127165080 is about 11276.7495316691. The cubic root of 127165080 is about 502.8702649628.

The spelling of 127165080 in words is "one hundred twenty-seven million, one hundred sixty-five thousand, eighty".