205642672 has 40 divisors (see below), whose sum is σ = 409830912. Its totient is φ = 99912000.

The previous prime is 205642667. The next prime is 205642691. The reversal of 205642672 is 276246502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112647 + ... + 114457.

Almost surely, 2^205642672 is an apocalyptic number.

It is an amenable number.

205642672 is a deficient number, since it is larger than the sum of its proper divisors (204188240).

205642672 is a wasteful number, since it uses less digits than its factorization.

205642672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 205642672 is about 14340.2465808646. The cubic root of 205642672 is about 590.2523788601.

The spelling of 205642672 in words is "two hundred five million, six hundred forty-two thousand, six hundred seventy-two".