205864146 has 32 divisors (see below), whose sum is σ = 460831680. Its totient is φ = 68118048.

The previous prime is 205864123. The next prime is 205864163. The reversal of 205864146 is 641468502.

205864146 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 641 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 205864146.

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 15 ways as a sum of consecutive naturals, for example, 6516 + ... + 21311.

It is an arithmetic number, because the mean of its divisors is an integer number (14400990).

Almost surely, 2^205864146 is an apocalyptic number.

205864146 is an abundant number, since it is smaller than the sum of its proper divisors (254967534).

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

205864146 is a wasteful number, since it uses less digits than its factorization.

205864146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27975 (or 27969 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 205864146 is about 14347.9666155173. The cubic root of 205864146 is about 590.4642004183.

The spelling of 205864146 in words is "two hundred five million, eight hundred sixty-four thousand, one hundred forty-six".