204721968 has 160 divisors (see below), whose sum is σ = 603389952. Its totient is φ = 59270400.

The previous prime is 204721963. The next prime is 204722033. The reversal of 204721968 is 869127402.

204721968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204721968² = 83822168363586048, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (204721961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1611921 + ... + 1612047.

Almost surely, 2^204721968 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 204721968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301694976).

204721968 is an abundant number, since it is smaller than the sum of its proper divisors (398667984).

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

204721968 is a wasteful number, since it uses less digits than its factorization.

204721968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 204721968 is about 14308.1084703744. The cubic root of 204721968 is about 589.3701676824.

The spelling of 204721968 in words is "two hundred four million, seven hundred twenty-one thousand, nine hundred sixty-eight".