256080 has 80 divisors (see below), whose sum is σ = 874944. Its totient is φ = 61440.

The previous prime is 256079. The next prime is 256093. The reversal of 256080 is 80652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2592 + ... + 2688.

2²⁵⁶⁰⁸⁰ is an apocalyptic number.

256080 is a gapful number since it is divisible by the number (20) 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 256080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472).

256080 is an abundant number, since it is smaller than the sum of its proper divisors (618864).

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

256080 is a wasteful number, since it uses less digits than its factorization.

256080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 256080 is about 506.0434763931. The cubic root of 256080 is about 63.5026555609.

It can be divided in two parts, 25 and 6080, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 256080 in words is "two hundred fifty-six thousand, eighty".