205041564 has 192 divisors, whose sum is σ = 676372480. Its totient is φ = 52254720.

The previous prime is 205041563. The next prime is 205041569. The reversal of 205041564 is 465140502.

205041564 = 207² + 208² + ... + 854².

205041564 is a `hidden beast` number, since 2 + 0 + 504 + 156 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205041563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304332 + ... + 305004.

Almost surely, 2^205041564 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 205041564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338186240).

205041564 is an abundant number, since it is smaller than the sum of its proper divisors (471330916).

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

205041564 is a wasteful number, since it uses less digits than its factorization.

205041564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 205041564 is about 14319.2724675523. The cubic root of 205041564 is about 589.6767011679.

The spelling of 205041564 in words is "two hundred five million, forty-one thousand, five hundred sixty-four".