205684080 has 160 divisors (see below), whose sum is σ = 733667328. Its totient is φ = 46694400.

The previous prime is 205684057. The next prime is 205684081. The reversal of 205684080 is 80486502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205684081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320560 + ... + 321200.

Almost surely, 2^205684080 is an apocalyptic number.

205684080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205684080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366833664).

205684080 is an abundant number, since it is smaller than the sum of its proper divisors (527983248).

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

205684080 is a wasteful number, since it uses less digits than its factorization.

205684080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 205684080 is about 14341.6902769513. The cubic root of 205684080 is about 590.2919937415.

The spelling of 205684080 in words is "two hundred five million, six hundred eighty-four thousand, eighty".