127793568 has 96 divisors (see below), whose sum is σ = 391305600. Its totient is φ = 36503040.

The previous prime is 127793527. The next prime is 127793569. The reversal of 127793568 is 865397721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (127793569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30988 + ... + 34868.

It is an arithmetic number, because the mean of its divisors is an integer number (4076100).

Almost surely, 2^127793568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127793568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195652800).

127793568 is an abundant number, since it is smaller than the sum of its proper divisors (263512032).

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

127793568 is an equidigital number, since it uses as much as digits as its factorization.

127793568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3893 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 127793568 is about 11304.5817260083. The cubic root of 127793568 is about 503.6973491594.

The spelling of 127793568 in words is "one hundred twenty-seven million, seven hundred ninety-three thousand, five hundred sixty-eight".