208689984 has 42 divisors (see below), whose sum is σ = 598173810. Its totient is φ = 69563136.

The previous prime is 208689961. The next prime is 208690033. The reversal of 208689984 is 489986802.

It can be written as a sum of positive squares in only one way, i.e., 190440000 + 18249984 = 13800^2 + 4272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 208689984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180579 + ... + 181730.

Almost surely, 2^208689984 is an apocalyptic number.

208689984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

208689984 is an abundant number, since it is smaller than the sum of its proper divisors (389483826).

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

208689984 is a wasteful number, since it uses less digits than its factorization.

208689984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362327 (or 362314 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 208689984 is about 14446.1061881740. The cubic root of 208689984 is about 593.1536427907.

The spelling of 208689984 in words is "two hundred eight million, six hundred eighty-nine thousand, nine hundred eighty-four".