205206864 has 80 divisors (see below), whose sum is σ = 564642432. Its totient is φ = 63995904.

The previous prime is 205206857. The next prime is 205206893. The reversal of 205206864 is 468602502.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 156837 + ... + 158139.

Almost surely, 2^205206864 is an apocalyptic number.

205206864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205206864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282321216).

205206864 is an abundant number, since it is smaller than the sum of its proper divisors (359435568).

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

205206864 is a wasteful number, since it uses less digits than its factorization.

205206864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 205206864 is about 14325.0432460080. The cubic root of 205206864 is about 589.8351200674.

The spelling of 205206864 in words is "two hundred five million, two hundred six thousand, eight hundred sixty-four".