204138368 has 64 divisors (see below), whose sum is σ = 471297120. Its totient is φ = 86261760.

The previous prime is 204138367. The next prime is 204138373. The reversal of 204138368 is 863831402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204138367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63848 + ... + 66968.

Almost surely, 2^204138368 is an apocalyptic number.

204138368 is a gapful number since it is divisible by the number (28) 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 204138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235648560).

204138368 is an abundant number, since it is smaller than the sum of its proper divisors (267158752).

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

204138368 is an equidigital number, since it uses as much as digits as its factorization.

204138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 204138368 is about 14287.6998848660. The cubic root of 204138368 is about 588.8095963701.

The spelling of 204138368 in words is "two hundred four million, one hundred thirty-eight thousand, three hundred sixty-eight".