205338648 has 64 divisors (see below), whose sum is σ = 545218560. Its totient is φ = 64221696.

The previous prime is 205338599. The next prime is 205338649. The reversal of 205338648 is 846833502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205338649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188361 + ... + 189447.

It is an arithmetic number, because the mean of its divisors is an integer number (8519040).

Almost surely, 2^205338648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205338648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272609280).

205338648 is an abundant number, since it is smaller than the sum of its proper divisors (339879912).

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

205338648 is a wasteful number, since it uses less digits than its factorization.

205338648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 205338648 is about 14329.6422844396. The cubic root of 205338648 is about 589.9613572316.

The spelling of 205338648 in words is "two hundred five million, three hundred thirty-eight thousand, six hundred forty-eight".