127868160 has 288 divisors, whose sum is σ = 480356352. Its totient is φ = 28385280.

The previous prime is 127868141. The next prime is 127868161. The reversal of 127868160 is 61868721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127868161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1800925 + ... + 1800995.

It is an arithmetic number, because the mean of its divisors is an integer number (1667904).

Almost surely, 2^127868160 is an apocalyptic number.

127868160 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 127868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240178176).

127868160 is an abundant number, since it is smaller than the sum of its proper divisors (352488192).

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

127868160 is an equidigital number, since it uses as much as digits as its factorization.

127868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 127868160 is about 11307.8804379954. The cubic root of 127868160 is about 503.7953313597.

The spelling of 127868160 in words is "one hundred twenty-seven million, eight hundred sixty-eight thousand, one hundred sixty".