128080 has 20 divisors (see below), whose sum is σ = 297972. Its totient is φ = 51200.

The previous prime is 128053. The next prime is 128099. The reversal of 128080 is 80821.

128080 = T₇₇ + T₇₈ + ... + T₁₀₆.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99856 + 28224 = 316^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

128080 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 3 ways as a sum of consecutive naturals, for example, 721 + ... + 880.

2¹²⁸⁰⁸⁰ is an apocalyptic number.

128080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128080 is an abundant number, since it is smaller than the sum of its proper divisors (169892).

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

128080 is a wasteful number, since it uses less digits than its factorization.

128080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 128080 is about 357.8826623350. The cubic root of 128080 is about 50.4073391513.

It can be divided in two parts, 1280 and 80, that multiplied together give a square (102400 = 320²).

The spelling of 128080 in words is "one hundred twenty-eight thousand, eighty".