204372168 has 256 divisors, whose sum is σ = 704471040. Its totient is φ = 47692800.

The previous prime is 204372137. The next prime is 204372169. The reversal of 204372168 is 861273402.

204372168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (204372169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1129038 + ... + 1129218.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^204372168 is an apocalyptic number.

204372168 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 204372168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

204372168 is an abundant number, since it is smaller than the sum of its proper divisors (500098872).

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

204372168 is a wasteful number, since it uses less digits than its factorization.

204372168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 204372168 is about 14295.8794063185. The cubic root of 204372168 is about 589.0342987993.

The spelling of 204372168 in words is "two hundred four million, three hundred seventy-two thousand, one hundred sixty-eight".