127165936 has 40 divisors (see below), whose sum is σ = 260161920. Its totient is φ = 60048576.

The previous prime is 127165889. The next prime is 127165943. The reversal of 127165936 is 639561721.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170781 + ... + 171523.

It is an arithmetic number, because the mean of its divisors is an integer number (6504048).

Almost surely, 2^127165936 is an apocalyptic number.

127165936 is a gapful number since it is divisible by the number (16) 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 127165936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130080960).

127165936 is an abundant number, since it is smaller than the sum of its proper divisors (132995984).

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

127165936 is a wasteful number, since it uses less digits than its factorization.

127165936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1327 counting only the distinct ones).

The product of its digits is 68040, while the sum is 40.

The square root of 127165936 is about 11276.7874858046. The cubic root of 127165936 is about 502.8713933019.

The spelling of 127165936 in words is "one hundred twenty-seven million, one hundred sixty-five thousand, nine hundred thirty-six".