260820 has 120 divisors (see below), whose sum is σ = 975744. Its totient is φ = 57024.

The previous prime is 260809. The next prime is 260849. The reversal of 260820 is 28062.

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

It is a junction number, because it is equal to n+sod(n) for n = 260793 and 260802.

It is a congruent number.

It is an unprimeable number.

260820 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 39 ways as a sum of consecutive naturals, for example, 11329 + ... + 11351.

2²⁶⁰⁸²⁰ is an apocalyptic number.

260820 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 260820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487872).

260820 is an abundant number, since it is smaller than the sum of its proper divisors (714924).

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

260820 is a wasteful number, since it uses less digits than its factorization.

260820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 260820 is about 510.7053945280. The cubic root of 260820 is about 63.8920706950.

Adding to 260820 its reverse (28062), we get a palindrome (288882).

It can be divided in two parts, 2608 and 20, that added together give a triangular number (2628 = T₇₂).

The spelling of 260820 in words is "two hundred sixty thousand, eight hundred twenty".