205870368 has 144 divisors (see below), whose sum is σ = 611331840. Its totient is φ = 60572160.

The previous prime is 205870363. The next prime is 205870373. The reversal of 205870368 is 863078502.

It is an interprime number because it is at equal distance from previous prime (205870363) and next prime (205870373).

It is not an unprimeable number, because it can be changed into a prime (205870361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429553 + ... + 430031.

It is an arithmetic number, because the mean of its divisors is an integer number (4245360).

Almost surely, 2^205870368 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 205870368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305665920).

205870368 is an abundant number, since it is smaller than the sum of its proper divisors (405461472).

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

205870368 is a wasteful number, since it uses less digits than its factorization.

205870368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 205870368 is about 14348.1834390281. The cubic root of 205870368 is about 590.4701490520.

The spelling of 205870368 in words is "two hundred five million, eight hundred seventy thousand, three hundred sixty-eight".