204867936 has 144 divisors (see below), whose sum is σ = 717129504. Its totient is φ = 54024192.

The previous prime is 204867917. The next prime is 204867959. The reversal of 204867936 is 639768402.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 204867891 and 204867900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22300 + ... + 30116.

It is an arithmetic number, because the mean of its divisors is an integer number (4980066).

Almost surely, 2^204867936 is an apocalyptic number.

204867936 is a gapful number since it is divisible by the number (26) 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 204867936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358564752).

204867936 is an abundant number, since it is smaller than the sum of its proper divisors (512261568).

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

204867936 is a wasteful number, since it uses less digits than its factorization.

204867936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7853 (or 7842 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 204867936 is about 14313.2084453487. The cubic root of 204867936 is about 589.5102092343.

The spelling of 204867936 in words is "two hundred four million, eight hundred sixty-seven thousand, nine hundred thirty-six".