208816608 has 384 divisors, whose sum is σ = 768144384. Its totient is φ = 47923200.

The previous prime is 208816607. The next prime is 208816613. The reversal of 208816608 is 806618802.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208816607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3939910 + ... + 3939962.

It is an arithmetic number, because the mean of its divisors is an integer number (2000376).

Almost surely, 2^208816608 is an apocalyptic number.

208816608 is a gapful number since it is divisible by the number (28) 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 208816608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384072192).

208816608 is an abundant number, since it is smaller than the sum of its proper divisors (559327776).

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

208816608 is a wasteful number, since it uses less digits than its factorization.

208816608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 208816608 is about 14450.4881578444. The cubic root of 208816608 is about 593.2735851407.

The spelling of 208816608 in words is "two hundred eight million, eight hundred sixteen thousand, six hundred eight".