208940625 has 144 divisors (see below), whose sum is σ = 438721920. Its totient is φ = 95040000.

The previous prime is 208940609. The next prime is 208940629. The reversal of 208940625 is 526049802.

It is a happy number.

208940625 is a `hidden beast` number, since 20 + 8 + 9 + 4 + 0 + 625 = 666.

It is not a de Polignac number, because 208940625 - 2⁴ = 208940609 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 208940625.

It is not an unprimeable number, because it can be changed into a prime (208940629) 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 143 ways as a sum of consecutive naturals, for example, 9084364 + ... + 9084386.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^208940625 is an apocalyptic number.

208940625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

208940625 is an abundant number, since it is smaller than the sum of its proper divisors (229781295).

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

208940625 is a wasteful number, since it uses less digits than its factorization.

208940625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 208940625 is about 14454.7786216185. The cubic root of 208940625 is about 593.3910110646.

The spelling of 208940625 in words is "two hundred eight million, nine hundred forty thousand, six hundred twenty-five".