204108672 has 64 divisors (see below), whose sum is σ = 543810960. Its totient is φ = 67829760.

The previous prime is 204108649. The next prime is 204108677. The reversal of 204108672 is 276801402.

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 (204108677) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 176448 + ... + 177600.

Almost surely, 2^204108672 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 204108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271905480).

204108672 is an abundant number, since it is smaller than the sum of its proper divisors (339702288).

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

204108672 is a wasteful number, since it uses less digits than its factorization.

204108672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 204108672 is about 14286.6606315122. The cubic root of 204108672 is about 588.7810436162.

The spelling of 204108672 in words is "two hundred four million, one hundred eight thousand, six hundred seventy-two".