205862240 has 48 divisors (see below), whose sum is σ = 491203440. Its totient is φ = 81523200.

The previous prime is 205862233. The next prime is 205862243. The reversal of 205862240 is 42268502.

205862240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205862243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9791 + ... + 22529.

It is an arithmetic number, because the mean of its divisors is an integer number (10233405).

Almost surely, 2^205862240 is an apocalyptic number.

205862240 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 205862240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245601720).

205862240 is an abundant number, since it is smaller than the sum of its proper divisors (285341200).

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

205862240 is a wasteful number, since it uses less digits than its factorization.

205862240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12855 (or 12847 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 205862240 is about 14347.9001948020. The cubic root of 205862240 is about 590.4623781352.

The spelling of 205862240 in words is "two hundred five million, eight hundred sixty-two thousand, two hundred forty".