205941320 has 32 divisors (see below), whose sum is σ = 499012920. Its totient is φ = 76039680.

The previous prime is 205941313. The next prime is 205941331. The reversal of 205941320 is 23149502.

It can be written as a sum of positive squares in 4 ways, for example, as 188183524 + 17757796 = 13718^2 + 4214^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 205941320.

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 7 ways as a sum of consecutive naturals, for example, 197501 + ... + 198540.

Almost surely, 2^205941320 is an apocalyptic number.

205941320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205941320 is an abundant number, since it is smaller than the sum of its proper divisors (293071600).

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

205941320 is a wasteful number, since it uses less digits than its factorization.

205941320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396065 (or 396061 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 205941320 is about 14350.6557341468. The cubic root of 205941320 is about 590.5379752710.

The spelling of 205941320 in words is "two hundred five million, nine hundred forty-one thousand, three hundred twenty".