205680328 has 32 divisors (see below), whose sum is σ = 442402560. Its totient is φ = 87816960.

The previous prime is 205680323. The next prime is 205680361. The reversal of 205680328 is 823086502.

It is a junction number, because it is equal to n+sod(n) for n = 205680293 and 205680302.

It is not an unprimeable number, because it can be changed into a prime (205680323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8400 + ... + 21952.

It is an arithmetic number, because the mean of its divisors is an integer number (13825080).

Almost surely, 2^205680328 is an apocalyptic number.

205680328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

205680328 is an abundant number, since it is smaller than the sum of its proper divisors (236722232).

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

205680328 is a wasteful number, since it uses less digits than its factorization.

205680328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13837 (or 13833 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 205680328 is about 14341.5594689002. The cubic root of 205680328 is about 590.2884044360.

The spelling of 205680328 in words is "two hundred five million, six hundred eighty thousand, three hundred twenty-eight".