205928970 has 64 divisors (see below), whose sum is σ = 549448704. Its totient is φ = 49052160.

The previous prime is 205928969. The next prime is 205928977. The reversal of 205928970 is 79829502.

It is not an unprimeable number, because it can be changed into a prime (205928977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3574 + ... + 20606.

It is an arithmetic number, because the mean of its divisors is an integer number (8585136).

Almost surely, 2^205928970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205928970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274724352).

205928970 is an abundant number, since it is smaller than the sum of its proper divisors (343519734).

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

205928970 is a wasteful number, since it uses less digits than its factorization.

205928970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17087.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 205928970 is about 14350.2254337693. The cubic root of 205928970 is about 590.5261704686.

The spelling of 205928970 in words is "two hundred five million, nine hundred twenty-eight thousand, nine hundred seventy".