208266080 has 96 divisors (see below), whose sum is σ = 544447008. Its totient is φ = 74649600.

The previous prime is 208266077. The next prime is 208266089. The reversal of 208266080 is 80662802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208266089) 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 15 ways as a sum of consecutive naturals, for example, 127670 + ... + 129290.

It is an arithmetic number, because the mean of its divisors is an integer number (5671323).

Almost surely, 2^208266080 is an apocalyptic number.

208266080 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 208266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272223504).

208266080 is an abundant number, since it is smaller than the sum of its proper divisors (336180928).

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

208266080 is a wasteful number, since it uses less digits than its factorization.

208266080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 208266080 is about 14431.4268178860. The cubic root of 208266080 is about 592.7517537680.

The spelling of 208266080 in words is "two hundred eight million, two hundred sixty-six thousand, eighty".