205720 has 32 divisors (see below), whose sum is σ = 478800. Its totient is φ = 79488.

The previous prime is 205703. The next prime is 205721. The reversal of 205720 is 27502.

It is a happy number.

205720 is nontrivially palindromic in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 205694 and 205703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1411 + ... + 1549.

2²⁰⁵⁷²⁰ is an apocalyptic number.

205720 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 205720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239400).

205720 is an abundant number, since it is smaller than the sum of its proper divisors (273080).

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

205720 is a wasteful number, since it uses less digits than its factorization.

205720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 205720 is about 453.5636669752. The cubic root of 205720 is about 59.0326353967.

The spelling of 205720 in words is "two hundred five thousand, seven hundred twenty".