208530144 has 72 divisors (see below), whose sum is σ = 618810192. Its totient is φ = 66485760.

The previous prime is 208530139. The next prime is 208530193. The reversal of 208530144 is 441035802.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9117 + ... + 22364.

It is an arithmetic number, because the mean of its divisors is an integer number (8594586).

Almost surely, 2^208530144 is an apocalyptic number.

208530144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

208530144 is an abundant number, since it is smaller than the sum of its proper divisors (410280048).

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

208530144 is a wasteful number, since it uses less digits than its factorization.

208530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31520 (or 31509 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 208530144 is about 14440.5728418231. The cubic root of 208530144 is about 593.0021678735.

Adding to 208530144 its reverse (441035802), we get a palindrome (649565946).

The spelling of 208530144 in words is "two hundred eight million, five hundred thirty thousand, one hundred forty-four".