208399104 has 108 divisors (see below), whose sum is σ = 621784800. Its totient is φ = 67049472.

The previous prime is 208399099. The next prime is 208399111. The reversal of 208399104 is 401993802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 65257 + ... + 68375.

Almost surely, 2^208399104 is an apocalyptic number.

208399104 is a gapful number since it is divisible by the number (24) 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 208399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310892400).

208399104 is an abundant number, since it is smaller than the sum of its proper divisors (413385696).

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

208399104 is a wasteful number, since it uses less digits than its factorization.

208399104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 208399104 is about 14436.0349126760. The cubic root of 208399104 is about 592.8779279830.

The spelling of 208399104 in words is "two hundred eight million, three hundred ninety-nine thousand, one hundred four".