127568 has 40 divisors (see below), whose sum is σ = 303552. Its totient is φ = 50688.

The previous prime is 127549. The next prime is 127579. The reversal of 127568 is 865721.

It is a self number, because there is not a number n which added to its sum of digits gives 127568.

It is a congruent number.

It is an unprimeable number.

127568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1871 + ... + 1937.

2¹²⁷⁵⁶⁸ 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 127568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151776).

127568 is an abundant number, since it is smaller than the sum of its proper divisors (175984).

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

127568 is a wasteful number, since it uses less digits than its factorization.

127568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 127568 is about 357.1666277804. The cubic root of 127568 is about 50.3400816452.

The spelling of 127568 in words is "one hundred twenty-seven thousand, five hundred sixty-eight".