204998688 has 144 divisors (see below), whose sum is σ = 620264736. Its totient is φ = 66562560.

The previous prime is 204998687. The next prime is 204998711. The reversal of 204998688 is 886899402.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (204998687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318495 + ... + 319137.

It is an arithmetic number, because the mean of its divisors is an integer number (4307394).

Almost surely, 2^204998688 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 204998688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310132368).

204998688 is an abundant number, since it is smaller than the sum of its proper divisors (415266048).

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

204998688 is an equidigital number, since it uses as much as digits as its factorization.

204998688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 204998688 is about 14317.7752461756. The cubic root of 204998688 is about 589.6355961024.

The spelling of 204998688 in words is "two hundred four million, nine hundred ninety-eight thousand, six hundred eighty-eight".