260520 has 64 divisors (see below), whose sum is σ = 846720. Its totient is φ = 63744.

The previous prime is 260489. The next prime is 260527. The reversal of 260520 is 25062.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 260520.

It is not an unprimeable number, because it can be changed into a prime (260527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1477 + ... + 1643.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2²⁶⁰⁵²⁰ is an apocalyptic number.

260520 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 260520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

260520 is an abundant number, since it is smaller than the sum of its proper divisors (586200).

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

260520 is a wasteful number, since it uses less digits than its factorization.

260520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 260520 is about 510.4115986143. The cubic root of 260520 is about 63.8675646820.

Adding to 260520 its reverse (25062), we get a palindrome (285582).

It can be divided in two parts, 260 and 520, that added together give a triangular number (780 = T₃₉).

The spelling of 260520 in words is "two hundred sixty thousand, five hundred twenty".