204791664 has 160 divisors (see below), whose sum is σ = 670242816. Its totient is φ = 52335360.

The previous prime is 204791659. The next prime is 204791669. The reversal of 204791664 is 466197402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (204791659) and next prime (204791669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204791669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247219 + ... + 248045.

Almost surely, 2^204791664 is an apocalyptic number.

204791664 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 204791664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335121408).

204791664 is an abundant number, since it is smaller than the sum of its proper divisors (465451152).

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

204791664 is a wasteful number, since it uses less digits than its factorization.

204791664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 204791664 is about 14310.5438051808. The cubic root of 204791664 is about 589.4370422556.

The spelling of 204791664 in words is "two hundred four million, seven hundred ninety-one thousand, six hundred sixty-four".