208020096 has 128 divisors (see below), whose sum is σ = 640886400. Its totient is φ = 66299904.

The previous prime is 208020079. The next prime is 208020097. The reversal of 208020096 is 690020802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208020097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78180 + ... + 80796.

It is an arithmetic number, because the mean of its divisors is an integer number (5006925).

Almost surely, 2^208020096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320443200).

208020096 is an abundant number, since it is smaller than the sum of its proper divisors (432866304).

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

208020096 is a wasteful number, since it uses less digits than its factorization.

208020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 208020096 is about 14422.9017884752. The cubic root of 208020096 is about 592.5182945801.

Adding to 208020096 its reverse (690020802), we get a palindrome (898040898).

The spelling of 208020096 in words is "two hundred eight million, twenty thousand, ninety-six".