205130664 has 64 divisors (see below), whose sum is σ = 585230400. Its totient is φ = 66526272.

The previous prime is 205130647. The next prime is 205130693. The reversal of 205130664 is 466031502.

205130664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4842 + ... + 20825.

It is an arithmetic number, because the mean of its divisors is an integer number (9144225).

Almost surely, 2^205130664 is an apocalyptic number.

205130664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205130664 is an abundant number, since it is smaller than the sum of its proper divisors (380099736).

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

205130664 is a wasteful number, since it uses less digits than its factorization.

205130664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25719 (or 25709 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 205130664 is about 14322.3833212214. The cubic root of 205130664 is about 589.7621026909.

The spelling of 205130664 in words is "two hundred five million, one hundred thirty thousand, six hundred sixty-four".