204585216 has 144 divisors (see below), whose sum is σ = 605252928. Its totient is φ = 60825600.

The previous prime is 204585197. The next prime is 204585223. The reversal of 204585216 is 612585402.

It is a super-2 number, since 2×204585216² = 83710221211533312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515130 + ... + 515526.

Almost surely, 2^204585216 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 204585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302626464).

204585216 is an abundant number, since it is smaller than the sum of its proper divisors (400667712).

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

204585216 is a wasteful number, since it uses less digits than its factorization.

204585216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 204585216 is about 14303.3288433148. The cubic root of 204585216 is about 589.2389075434.

Adding to 204585216 its product of nonzero digits (19200), we get a square (204604416 = 14304²).

The spelling of 204585216 in words is "two hundred four million, five hundred eighty-five thousand, two hundred sixteen".