205565664 has 48 divisors (see below), whose sum is σ = 547020432. Its totient is φ = 67580928.

The previous prime is 205565627. The next prime is 205565687. The reversal of 205565664 is 466565502.

It is a happy number.

205565664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7659 + ... + 21674.

It is an arithmetic number, because the mean of its divisors is an integer number (11396259).

Almost surely, 2^205565664 is an apocalyptic number.

205565664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205565664 is an abundant number, since it is smaller than the sum of its proper divisors (341454768).

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

205565664 is a wasteful number, since it uses less digits than its factorization.

205565664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29419 (or 29411 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The square root of 205565664 is about 14337.5612989099. The cubic root of 205565664 is about 590.1786914460.

The spelling of 205565664 in words is "two hundred five million, five hundred sixty-five thousand, six hundred sixty-four".