205704864 has 72 divisors (see below), whose sum is σ = 586666080. Its totient is φ = 68370048.

The previous prime is 205704841. The next prime is 205704869. The reversal of 205704864 is 468407502.

205704864 is a `hidden beast` number, since 2 + 0 + 570 + 4 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (205704869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125619 + ... + 127245.

It is an arithmetic number, because the mean of its divisors is an integer number (8148140).

Almost surely, 2^205704864 is an apocalyptic number.

205704864 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 205704864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293333040).

205704864 is an abundant number, since it is smaller than the sum of its proper divisors (380961216).

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

205704864 is a wasteful number, since it uses less digits than its factorization.

205704864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 205704864 is about 14342.4148594301. The cubic root of 205704864 is about 590.3118757139.

The spelling of 205704864 in words is "two hundred five million, seven hundred four thousand, eight hundred sixty-four".