205320 has 64 divisors (see below), whose sum is σ = 648000. Its totient is φ = 51968.

The previous prime is 205319. The next prime is 205327. The reversal of 205320 is 23502.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 205296 and 205305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3451 + ... + 3509.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2²⁰⁵³²⁰ is an apocalyptic number.

205320 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 205320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324000).

205320 is an abundant number, since it is smaller than the sum of its proper divisors (442680).

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

205320 is a wasteful number, since it uses less digits than its factorization.

205320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 205320 is about 453.1224999931. The cubic root of 205320 is about 58.9943497414.

Adding to 205320 its reverse (23502), we get a palindrome (228822).

It can be divided in two parts, 205 and 320, that added together give a palindrome (525).

The spelling of 205320 in words is "two hundred five thousand, three hundred twenty".