205357968 has 30 divisors (see below), whose sum is σ = 574717494. Its totient is φ = 68452608.

The previous prime is 205357963. The next prime is 205357969. The reversal of 205357968 is 869753502.

It is a happy number.

205357968 is a `hidden beast` number, since 20 + 53 + 579 + 6 + 8 = 666.

205357968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 196784784 + 8573184 = 14028^2 + 2928^2 .

It is not an unprimeable number, because it can be changed into a prime (205357963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 712905 + ... + 713192.

Almost surely, 2^205357968 is an apocalyptic number.

It is an amenable number.

205357968 is an abundant number, since it is smaller than the sum of its proper divisors (369359526).

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

205357968 is a wasteful number, since it uses less digits than its factorization.

205357968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426111 (or 1426102 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 205357968 is about 14330.3163956697. The cubic root of 205357968 is about 589.9798595059.

The spelling of 205357968 in words is "two hundred five million, three hundred fifty-seven thousand, nine hundred sixty-eight".