260580 has 48 divisors (see below), whose sum is σ = 753984. Its totient is φ = 67200.

The previous prime is 260573. The next prime is 260581. The reversal of 260580 is 85062.

It is a happy number.

260580 is nontrivially palindromic in base 11.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (260581) by changing a digit.

260580 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 15 ways as a sum of consecutive naturals, for example, 2530 + ... + 2630.

It is an arithmetic number, because the mean of its divisors is an integer number (15708).

2²⁶⁰⁵⁸⁰ is an apocalyptic number.

260580 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 260580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376992).

260580 is an abundant number, since it is smaller than the sum of its proper divisors (493404).

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

260580 is a wasteful number, since it uses less digits than its factorization.

260580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 154 counting only the distinct ones).

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

The square root of 260580 is about 510.4703713243. The cubic root of 260580 is about 63.8724673891.

Subtracting from 260580 its product of nonzero digits (480), we obtain a square (260100 = 510²).

The spelling of 260580 in words is "two hundred sixty thousand, five hundred eighty".