205260 has 48 divisors (see below), whose sum is σ = 628992. Its totient is φ = 49600.

The previous prime is 205253. The next prime is 205267. The reversal of 205260 is 62502.

It is an interprime number because it is at equal distance from previous prime (205253) and next prime (205267).

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

It is not an unprimeable number, because it can be changed into a prime (205267) by changing a digit.

205260 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, 505 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2²⁰⁵²⁶⁰ is an apocalyptic number.

205260 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 205260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496).

205260 is an abundant number, since it is smaller than the sum of its proper divisors (423732).

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

205260 is a wasteful number, since it uses less digits than its factorization.

205260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

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

The square root of 205260 is about 453.0562878937. The cubic root of 205260 is about 58.9886026055.

Adding to 205260 its reverse (62502), we get a palindrome (267762).

It can be divided in two parts, 2052 and 60, that added together give a palindrome (2112).

The spelling of 205260 in words is "two hundred five thousand, two hundred sixty".