127768520 has 32 divisors (see below), whose sum is σ = 313614720. Its totient is φ = 46461120.

The previous prime is 127768507. The next prime is 127768561. The reversal of 127768520 is 25867721.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

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, 144752 + ... + 145631.

It is an arithmetic number, because the mean of its divisors is an integer number (9800460).

Almost surely, 2^127768520 is an apocalyptic number.

127768520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127768520 is an abundant number, since it is smaller than the sum of its proper divisors (185846200).

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

127768520 is a wasteful number, since it uses less digits than its factorization.

127768520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290405 (or 290401 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 127768520 is about 11303.4738023317. The cubic root of 127768520 is about 503.6644381771.

The spelling of 127768520 in words is "one hundred twenty-seven million, seven hundred sixty-eight thousand, five hundred twenty".