208868520 has 256 divisors, whose sum is σ = 787968000. Its totient is φ = 43186176.

The previous prime is 208868519. The next prime is 208868521. The reversal of 208868520 is 25868802.

It is an interprime number because it is at equal distance from previous prime (208868519) and next prime (208868521).

It is not an unprimeable number, because it can be changed into a prime (208868521) 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, 366796 + ... + 367364.

It is an arithmetic number, because the mean of its divisors is an integer number (3078000).

Almost surely, 2^208868520 is an apocalyptic number.

208868520 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 208868520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393984000).

208868520 is an abundant number, since it is smaller than the sum of its proper divisors (579099480).

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

208868520 is a wasteful number, since it uses less digits than its factorization.

208868520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 208868520 is about 14452.2842485193. The cubic root of 208868520 is about 593.3227438529.

The spelling of 208868520 in words is "two hundred eight million, eight hundred sixty-eight thousand, five hundred twenty".