208679920 has 60 divisors (see below), whose sum is σ = 507295656. Its totient is φ = 79826560.

The previous prime is 208679881. The next prime is 208679929. The reversal of 208679920 is 29976802.

It is a happy number.

It is a super-2 number, since 2×208679920² = 87094618022412800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208679929) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39855 + ... + 44785.

Almost surely, 2^208679920 is an apocalyptic number.

208679920 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 208679920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253647828).

208679920 is an abundant number, since it is smaller than the sum of its proper divisors (298615736).

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

208679920 is a wasteful number, since it uses less digits than its factorization.

208679920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 208679920 is about 14445.7578548168. The cubic root of 208679920 is about 593.1441077632.

The spelling of 208679920 in words is "two hundred eight million, six hundred seventy-nine thousand, nine hundred twenty".