205718080 has 28 divisors (see below), whose sum is σ = 489866940. Its totient is φ = 82287104.

The previous prime is 205718059. The next prime is 205718081. The reversal of 205718080 is 80817502.

It can be written as a sum of positive squares in 2 ways, for example, as 133263936 + 72454144 = 11544^2 + 8512^2 .

It is not an unprimeable number, because it can be changed into a prime (205718081) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 321115 + ... + 321754.

Almost surely, 2^205718080 is an apocalyptic number.

205718080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205718080 is an abundant number, since it is smaller than the sum of its proper divisors (284148860).

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

205718080 is an equidigital number, since it uses as much as digits as its factorization.

205718080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642886 (or 642876 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 205718080 is about 14342.8755833689. The cubic root of 205718080 is about 590.3245174417.

The spelling of 205718080 in words is "two hundred five million, seven hundred eighteen thousand, eighty".