127538560 has 64 divisors (see below), whose sum is σ = 306306000. Its totient is φ = 50780160.

The previous prime is 127538533. The next prime is 127538569. The reversal of 127538560 is 65835721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127538569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223075 + ... + 223645.

Almost surely, 2^127538560 is an apocalyptic number.

127538560 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 127538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153153000).

127538560 is an abundant number, since it is smaller than the sum of its proper divisors (178767440).

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

127538560 is an equidigital number, since it uses as much as digits as its factorization.

127538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 127538560 is about 11293.2971270573. The cubic root of 127538560 is about 503.3620887138.

The spelling of 127538560 in words is "one hundred twenty-seven million, five hundred thirty-eight thousand, five hundred sixty".