204816 has 40 divisors (see below), whose sum is σ = 562464. Its totient is φ = 64000.

The previous prime is 204803. The next prime is 204821. The reversal of 204816 is 618402.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 204792 and 204801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 691 + ... + 941.

2²⁰⁴⁸¹⁶ 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 204816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232).

204816 is an abundant number, since it is smaller than the sum of its proper divisors (357648).

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

204816 is a wasteful number, since it uses less digits than its factorization.

204816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 204816 is about 452.5660172837. The cubic root of 204816 is about 58.9460389514.

It can be divided in two parts, 2048 and 16, that multiplied together give a 15-th power (32768 = 2¹⁵).

The spelling of 204816 in words is "two hundred four thousand, eight hundred sixteen".