208032240 has 240 divisors, whose sum is σ = 731953152. Its totient is φ = 48761856.

The previous prime is 208032233. The next prime is 208032271. The reversal of 208032240 is 42230802.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 932769 + ... + 932991.

Almost surely, 2^208032240 is an apocalyptic number.

208032240 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 208032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365976576).

208032240 is an abundant number, since it is smaller than the sum of its proper divisors (523920912).

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

208032240 is a wasteful number, since it uses less digits than its factorization.

208032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 208032240 is about 14423.3227794430. The cubic root of 208032240 is about 592.5298245593.

The spelling of 208032240 in words is "two hundred eight million, thirty-two thousand, two hundred forty".