204267936 has 96 divisors (see below), whose sum is σ = 575346240. Its totient is φ = 63258624.

The previous prime is 204267913. The next prime is 204267941. The reversal of 204267936 is 639762402.

204267936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 204267894 and 204267903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95616 + ... + 97728.

It is an arithmetic number, because the mean of its divisors is an integer number (5993190).

Almost surely, 2^204267936 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 204267936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287673120).

204267936 is an abundant number, since it is smaller than the sum of its proper divisors (371078304).

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

204267936 is a wasteful number, since it uses less digits than its factorization.

204267936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 204267936 is about 14292.2334153903. The cubic root of 204267936 is about 588.9341438317.

The spelling of 204267936 in words is "two hundred four million, two hundred sixty-seven thousand, nine hundred thirty-six".