205654064 has 80 divisors (see below), whose sum is σ = 503301120. Its totient is φ = 79073280.

The previous prime is 205653983. The next prime is 205654139. The reversal of 205654064 is 460456502.

It is a self number, because there is not a number n which added to its sum of digits gives 205654064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96272 + ... + 98384.

It is an arithmetic number, because the mean of its divisors is an integer number (6291264).

Almost surely, 2^205654064 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 205654064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251650560).

205654064 is an abundant number, since it is smaller than the sum of its proper divisors (297647056).

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

205654064 is a wasteful number, since it uses less digits than its factorization.

205654064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 205654064 is about 14340.6437791335. The cubic root of 205654064 is about 590.2632780749.

The spelling of 205654064 in words is "two hundred five million, six hundred fifty-four thousand, sixty-four".