208630240 has 288 divisors, whose sum is σ = 651551040. Its totient is φ = 62447616.

The previous prime is 208630237. The next prime is 208630271. The reversal of 208630240 is 42036802.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2344116 + ... + 2344204.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2^208630240 is an apocalyptic number.

208630240 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 208630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325775520).

208630240 is an abundant number, since it is smaller than the sum of its proper divisors (442920800).

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

208630240 is a wasteful number, since it uses less digits than its factorization.

208630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 208630240 is about 14444.0382165100. The cubic root of 208630240 is about 593.0970344942.

The spelling of 208630240 in words is "two hundred eight million, six hundred thirty thousand, two hundred forty".