205270920 has 144 divisors (see below), whose sum is σ = 709041060. Its totient is φ = 51492864.

The previous prime is 205270873. The next prime is 205270921. The reversal of 205270920 is 29072502.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 117548964 + 87721956 = 10842^2 + 9366^2 .

It is not an unprimeable number, because it can be changed into a prime (205270921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103054 + ... + 105026.

Almost surely, 2^205270920 is an apocalyptic number.

205270920 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 205270920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354520530).

205270920 is an abundant number, since it is smaller than the sum of its proper divisors (503770140).

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

205270920 is a wasteful number, since it uses less digits than its factorization.

205270920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 205270920 is about 14327.2788763254. The cubic root of 205270920 is about 589.8964866758.

The spelling of 205270920 in words is "two hundred five million, two hundred seventy thousand, nine hundred twenty".