204641664 has 64 divisors (see below), whose sum is σ = 561146880. Its totient is φ = 66009600.

The previous prime is 204641659. The next prime is 204641669. The reversal of 204641664 is 466146402.

It is an interprime number because it is at equal distance from previous prime (204641659) and next prime (204641669).

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 (204641669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3309 + ... + 20499.

It is an arithmetic number, because the mean of its divisors is an integer number (8767920).

Almost surely, 2^204641664 is an apocalyptic number.

204641664 is a gapful number since it is divisible by the number (24) 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 204641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280573440).

204641664 is an abundant number, since it is smaller than the sum of its proper divisors (356505216).

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

204641664 is a wasteful number, since it uses less digits than its factorization.

204641664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17239 (or 17227 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 204641664 is about 14305.3019541707. The cubic root of 204641664 is about 589.2930957197.

The spelling of 204641664 in words is "two hundred four million, six hundred forty-one thousand, six hundred sixty-four".