128160 has 72 divisors (see below), whose sum is σ = 442260. Its totient is φ = 33792.

The previous prime is 128159. The next prime is 128173. The reversal of 128160 is 61821.

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 7056 = 348^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 128160.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1396 + ... + 1484.

2¹²⁸¹⁶⁰ is an apocalyptic number.

128160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221130).

128160 is an abundant number, since it is smaller than the sum of its proper divisors (314100).

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

128160 is a wasteful number, since it uses less digits than its factorization.

128160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 128160 is about 357.9944133642. The cubic root of 128160 is about 50.4178319366.

Adding to 128160 its reverse (61821), we get a palindrome (189981).

The spelling of 128160 in words is "one hundred twenty-eight thousand, one hundred sixty".