205242660 has 168 divisors, whose sum is σ = 738902976. Its totient is φ = 46889280.

The previous prime is 205242629. The next prime is 205242671. The reversal of 205242660 is 66242502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 101055 + ... + 103065.

It is an arithmetic number, because the mean of its divisors is an integer number (4398232).

Almost surely, 2^205242660 is an apocalyptic number.

205242660 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 205242660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369451488).

205242660 is an abundant number, since it is smaller than the sum of its proper divisors (533660316).

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

205242660 is a wasteful number, since it uses less digits than its factorization.

205242660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 205242660 is about 14326.2926118379. The cubic root of 205242660 is about 589.8694147460.

The spelling of 205242660 in words is "two hundred five million, two hundred forty-two thousand, six hundred sixty".