208428066 has 240 divisors, whose sum is σ = 617971200. Its totient is φ = 52390800.

The previous prime is 208428037. The next prime is 208428079. The reversal of 208428066 is 660824802.

It is a self number, because there is not a number n which added to its sum of digits gives 208428066.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6723471 + ... + 6723501.

It is an arithmetic number, because the mean of its divisors is an integer number (2574880).

Almost surely, 2^208428066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208428066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308985600).

208428066 is an abundant number, since it is smaller than the sum of its proper divisors (409543134).

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

208428066 is a wasteful number, since it uses less digits than its factorization.

208428066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 208428066 is about 14437.0379926078. The cubic root of 208428066 is about 592.9053915291.

The spelling of 208428066 in words is "two hundred eight million, four hundred twenty-eight thousand, sixty-six".