205695080 has 32 divisors (see below), whose sum is σ = 463530600. Its totient is φ = 82150656.

The previous prime is 205695043. The next prime is 205695103. The reversal of 205695080 is 80596502.

It can be written as a sum of positive squares in 4 ways, for example, as 149475076 + 56220004 = 12226^2 + 7498^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 205695080.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24734 + ... + 31986.

Almost surely, 2^205695080 is an apocalyptic number.

205695080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205695080 is an abundant number, since it is smaller than the sum of its proper divisors (257835520).

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

205695080 is a wasteful number, since it uses less digits than its factorization.

205695080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7973 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 205695080 is about 14342.0737691590. The cubic root of 205695080 is about 590.3025165073.

The spelling of 205695080 in words is "two hundred five million, six hundred ninety-five thousand, eighty".