204661152 has 72 divisors (see below), whose sum is σ = 585093600. Its totient is φ = 67858560.

The previous prime is 204661139. The next prime is 204661159. The reversal of 204661152 is 251166402.

204661152 is a `hidden beast` number, since 2 + 0 + 46 + 611 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (204661159) 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 11 ways as a sum of consecutive naturals, for example, 55527 + ... + 59097.

It is an arithmetic number, because the mean of its divisors is an integer number (8126300).

Almost surely, 2^204661152 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 204661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292546800).

204661152 is an abundant number, since it is smaller than the sum of its proper divisors (380432448).

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

204661152 is a wasteful number, since it uses less digits than its factorization.

204661152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 204661152 is about 14305.9830840107. The cubic root of 204661152 is about 589.3118012285.

The spelling of 204661152 in words is "two hundred four million, six hundred sixty-one thousand, one hundred fifty-two".