205764672 has 56 divisors (see below), whose sum is σ = 545567616. Its totient is φ = 68443648.

The previous prime is 205764667. The next prime is 205764697. The reversal of 205764672 is 276467502.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 205764672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129193 + ... + 130775.

Almost surely, 2^205764672 is an apocalyptic number.

It is an amenable number.

205764672 is an abundant number, since it is smaller than the sum of its proper divisors (339802944).

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

205764672 is a wasteful number, since it uses less digits than its factorization.

205764672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 205764672 is about 14344.4997124333. The cubic root of 205764672 is about 590.3690805702.

The spelling of 205764672 in words is "two hundred five million, seven hundred sixty-four thousand, six hundred seventy-two".