205868240 has 20 divisors (see below), whose sum is σ = 478643844. Its totient is φ = 82347264.

The previous prime is 205868237. The next prime is 205868261. The reversal of 205868240 is 42868502.

It can be written as a sum of positive squares in 2 ways, for example, as 73342096 + 132526144 = 8564^2 + 11512^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 205868240.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1286597 + ... + 1286756.

Almost surely, 2^205868240 is an apocalyptic number.

205868240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205868240 is an abundant number, since it is smaller than the sum of its proper divisors (272775604).

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

205868240 is a wasteful number, since it uses less digits than its factorization.

205868240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573366 (or 2573360 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 205868240 is about 14348.1092831077. The cubic root of 205868240 is about 590.4681145601.

The spelling of 205868240 in words is "two hundred five million, eight hundred sixty-eight thousand, two hundred forty".