205066656 has 144 divisors (see below), whose sum is σ = 618377760. Its totient is φ = 64350720.

The previous prime is 205066651. The next prime is 205066681. The reversal of 205066656 is 656660502.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 205066656.

It is not an unprimeable number, because it can be changed into a prime (205066651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358851 + ... + 359421.

It is an arithmetic number, because the mean of its divisors is an integer number (4294290).

Almost surely, 2^205066656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205066656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309188880).

205066656 is an abundant number, since it is smaller than the sum of its proper divisors (413311104).

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

205066656 is a wasteful number, since it uses less digits than its factorization.

205066656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 205066656 is about 14320.1486025809. The cubic root of 205066656 is about 589.7007541192.

The spelling of 205066656 in words is "two hundred five million, sixty-six thousand, six hundred fifty-six".