208834290 has 288 divisors, whose sum is σ = 698840064. Its totient is φ = 42301440.

The previous prime is 208834289. The next prime is 208834291. The reversal of 208834290 is 92438802.

It is an interprime number because it is at equal distance from previous prime (208834289) and next prime (208834291).

It is a super-2 number, since 2×208834290² = 87223521359608200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208834291) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5644152 + ... + 5644188.

It is an arithmetic number, because the mean of its divisors is an integer number (2426528).

Almost surely, 2^208834290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208834290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349420032).

208834290 is an abundant number, since it is smaller than the sum of its proper divisors (490005774).

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

208834290 is a wasteful number, since it uses less digits than its factorization.

208834290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 208834290 is about 14451.0999581347. The cubic root of 208834290 is about 593.2903302447.

The spelling of 208834290 in words is "two hundred eight million, eight hundred thirty-four thousand, two hundred ninety".