204068160 has 140 divisors (see below), whose sum is σ = 725998548. Its totient is φ = 54411264.

The previous prime is 204068159. The next prime is 204068171. The reversal of 204068160 is 61860402.

It can be written as a sum of positive squares in 2 ways, for example, as 32353344 + 171714816 = 5688^2 + 13104^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 21984 + ... + 29856.

Almost surely, 2^204068160 is an apocalyptic number.

204068160 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 204068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362999274).

204068160 is an abundant number, since it is smaller than the sum of its proper divisors (521930388).

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

204068160 is an equidigital number, since it uses as much as digits as its factorization.

204068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7902 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 204068160 is about 14285.2427350745. The cubic root of 204068160 is about 588.7420867937.

The spelling of 204068160 in words is "two hundred four million, sixty-eight thousand, one hundred sixty".