205321368 has 96 divisors (see below), whose sum is σ = 623151360. Its totient is φ = 56105280.

The previous prime is 205321351. The next prime is 205321379. The reversal of 205321368 is 863123502.

205321368 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23253 + ... + 30843.

It is an arithmetic number, because the mean of its divisors is an integer number (6491160).

Almost surely, 2^205321368 is an apocalyptic number.

205321368 is a gapful number since it is divisible by the number (28) 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 205321368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311575680).

205321368 is an abundant number, since it is smaller than the sum of its proper divisors (417829992).

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

205321368 is a wasteful number, since it uses less digits than its factorization.

205321368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7637 (or 7626 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 205321368 is about 14329.0393257887. The cubic root of 205321368 is about 589.9448076304.

The spelling of 205321368 in words is "two hundred five million, three hundred twenty-one thousand, three hundred sixty-eight".