208086120 has 288 divisors, whose sum is σ = 789876360. Its totient is φ = 47308800.

The previous prime is 208086077. The next prime is 208086139. The reversal of 208086120 is 21680802.

It can be written as a sum of positive squares in 4 ways, for example, as 197627364 + 10458756 = 14058^2 + 3234^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 740380 + ... + 740660.

Almost surely, 2^208086120 is an apocalyptic number.

208086120 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 208086120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394938180).

208086120 is an abundant number, since it is smaller than the sum of its proper divisors (581790240).

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

208086120 is a wasteful number, since it uses less digits than its factorization.

208086120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 208086120 is about 14425.1904666802. The cubic root of 208086120 is about 592.5809748860.

The spelling of 208086120 in words is "two hundred eight million, eighty-six thousand, one hundred twenty".