205620 has 48 divisors (see below), whose sum is σ = 604800. Its totient is φ = 52096.

The previous prime is 205619. The next prime is 205627. The reversal of 205620 is 26502.

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 205620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306 + ... + 1454.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2²⁰⁵⁶²⁰ is an apocalyptic number.

205620 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 205620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

205620 is an abundant number, since it is smaller than the sum of its proper divisors (399180).

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

205620 is a wasteful number, since it uses less digits than its factorization.

205620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

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

The square root of 205620 is about 453.4534154684. The cubic root of 205620 is about 59.0230686388.

The spelling of 205620 in words is "two hundred five thousand, six hundred twenty".