205864560 has 360 divisors, whose sum is σ = 810416880. Its totient is φ = 46632960.

The previous prime is 205864553. The next prime is 205864597. The reversal of 205864560 is 65468502.

205864560 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 645 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1480971 + ... + 1481109.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^205864560 is an apocalyptic number.

205864560 is a gapful number since it is divisible by the number (20) 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 205864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405208440).

205864560 is an abundant number, since it is smaller than the sum of its proper divisors (604552320).

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

205864560 is a wasteful number, since it uses less digits than its factorization.

205864560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 205864560 is about 14347.9810426415. The cubic root of 205864560 is about 590.4645962327.

The spelling of 205864560 in words is "two hundred five million, eight hundred sixty-four thousand, five hundred sixty".