205038960 has 240 divisors, whose sum is σ = 756523008. Its totient is φ = 44997120.

The previous prime is 205038947. The next prime is 205039061. The reversal of 205038960 is 69830502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1614417 + ... + 1614543.

Almost surely, 2^205038960 is an apocalyptic number.

205038960 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 205038960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378261504).

205038960 is an abundant number, since it is smaller than the sum of its proper divisors (551484048).

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

205038960 is a wasteful number, since it uses less digits than its factorization.

205038960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 205038960 is about 14319.1815408563. The cubic root of 205038960 is about 589.6742048860.

The spelling of 205038960 in words is "two hundred five million, thirty-eight thousand, nine hundred sixty".