204259968 has 224 divisors, whose sum is σ = 668916000. Its totient is φ = 61585920.

The previous prime is 204259921. The next prime is 204259973. The reversal of 204259968 is 869952402.

It is a super-2 number, since 2×204259968² = 83444269054722048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1026333 + ... + 1026531.

Almost surely, 2^204259968 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 204259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334458000).

204259968 is an abundant number, since it is smaller than the sum of its proper divisors (464656032).

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

204259968 is an equidigital number, since it uses as much as digits as its factorization.

204259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 204259968 is about 14291.9546598777. The cubic root of 204259968 is about 588.9264860982.

The spelling of 204259968 in words is "two hundred four million, two hundred fifty-nine thousand, nine hundred sixty-eight".