128568 has 32 divisors (see below), whose sum is σ = 351360. Its totient is φ = 38880.

The previous prime is 128563. The next prime is 128591. The reversal of 128568 is 865821.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128563) by changing a digit.

128568 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, 21 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (10980).

2¹²⁸⁵⁶⁸ 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 128568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175680).

128568 is an abundant number, since it is smaller than the sum of its proper divisors (222792).

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

128568 is a wasteful number, since it uses less digits than its factorization.

128568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 128568 is about 358.5638018540. The cubic root of 128568 is about 50.4712773306.

It can be divided in two parts, 128 and 568, that added together give a palindrome (696).

The spelling of 128568 in words is "one hundred twenty-eight thousand, five hundred sixty-eight".