208120920 has 128 divisors (see below), whose sum is σ = 731082240. Its totient is φ = 46402560.

The previous prime is 208120909. The next prime is 208120921. The reversal of 208120920 is 29021802.

208120920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208120921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31419 + ... + 37461.

It is an arithmetic number, because the mean of its divisors is an integer number (5711580).

Almost surely, 2^208120920 is an apocalyptic number.

208120920 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 208120920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365541120).

208120920 is an abundant number, since it is smaller than the sum of its proper divisors (522961320).

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

208120920 is a wasteful number, since it uses less digits than its factorization.

208120920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 208120920 is about 14426.3966394939. The cubic root of 208120920 is about 592.6140071524.

The spelling of 208120920 in words is "two hundred eight million, one hundred twenty thousand, nine hundred twenty".