204187968 has 84 divisors (see below), whose sum is σ = 592458048. Its totient is φ = 67226880.

The previous prime is 204187957. The next prime is 204187987. The reversal of 204187968 is 869781402.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 45673 + ... + 49943.

It is an arithmetic number, because the mean of its divisors is an integer number (7053072).

Almost surely, 2^204187968 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 204187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296229024).

204187968 is an abundant number, since it is smaller than the sum of its proper divisors (388270080).

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

204187968 is a wasteful number, since it uses less digits than its factorization.

204187968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 204187968 is about 14289.4355381869. The cubic root of 204187968 is about 588.8572806789.

It can be divided in two parts, 2041 and 87968, that added together give a palindrome (90009).

The spelling of 204187968 in words is "two hundred four million, one hundred eighty-seven thousand, nine hundred sixty-eight".