128680 has 16 divisors (see below), whose sum is σ = 289620. Its totient is φ = 51456.

The previous prime is 128677. The next prime is 128683. The reversal of 128680 is 86821.

It is an interprime number because it is at equal distance from previous prime (128677) and next prime (128683).

It can be written as a sum of positive squares in 2 ways, for example, as 125316 + 3364 = 354^2 + 58^2 .

It is an Ulam number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (128683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1569 + ... + 1648.

2¹²⁸⁶⁸⁰ is an apocalyptic number.

128680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128680 is an abundant number, since it is smaller than the sum of its proper divisors (160940).

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

128680 is a wasteful number, since it uses less digits than its factorization.

128680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 128680 is about 358.7199464764. The cubic root of 128680 is about 50.4859288313.

It can be divided in two parts, 128 and 680, that added together give a palindrome (808).

The spelling of 128680 in words is "one hundred twenty-eight thousand, six hundred eighty".