205949568 has 64 divisors (see below), whose sum is σ = 596797920. Its totient is φ = 62407680.

The previous prime is 205949563. The next prime is 205949591. The reversal of 205949568 is 865949502.

205949568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×205949568³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (205949563) 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, 20155 + ... + 28602.

Almost surely, 2^205949568 is an apocalyptic number.

It is an amenable number.

205949568 is an abundant number, since it is smaller than the sum of its proper divisors (390848352).

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

205949568 is a wasteful number, since it uses less digits than its factorization.

205949568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48785 (or 48773 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 205949568 is about 14350.9431048973. The cubic root of 205949568 is about 590.5458588957.

The spelling of 205949568 in words is "two hundred five million, nine hundred forty-nine thousand, five hundred sixty-eight".