204066720 has 288 divisors, whose sum is σ = 818947584. Its totient is φ = 45619200.

The previous prime is 204066689. The next prime is 204066727. The reversal of 204066720 is 27660402.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204066727) 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 47 ways as a sum of consecutive naturals, for example, 205425 + ... + 206415.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^204066720 is an apocalyptic number.

204066720 is a gapful number since it is divisible by the number (20) 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 204066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409473792).

204066720 is an abundant number, since it is smaller than the sum of its proper divisors (614880864).

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

204066720 is a wasteful number, since it uses less digits than its factorization.

204066720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 204066720 is about 14285.1923333219. The cubic root of 204066720 is about 588.7407019777.

The spelling of 204066720 in words is "two hundred four million, sixty-six thousand, seven hundred twenty".