204787968 has 144 divisors (see below), whose sum is σ = 679719936. Its totient is φ = 53176320.

The previous prime is 204787963. The next prime is 204787981. The reversal of 204787968 is 869787402.

204787968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204787968² = 83876223675138048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204787968.

It is not an unprimeable number, because it can be changed into a prime (204787963) 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, 57405 + ... + 60867.

Almost surely, 2^204787968 is an apocalyptic number.

204787968 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 204787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339859968).

204787968 is an abundant number, since it is smaller than the sum of its proper divisors (474931968).

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

204787968 is a wasteful number, since it uses less digits than its factorization.

204787968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 204787968 is about 14310.4146690444. The cubic root of 204787968 is about 589.4334962577.

The spelling of 204787968 in words is "two hundred four million, seven hundred eighty-seven thousand, nine hundred sixty-eight".