208213824 has 224 divisors, whose sum is σ = 718937856. Its totient is φ = 51609600.

The previous prime is 208213813. The next prime is 208213829. The reversal of 208213824 is 428312802.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 208213791 and 208213800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208213829) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 296674 + ... + 297374.

It is an arithmetic number, because the mean of its divisors is an integer number (3209544).

Almost surely, 2^208213824 is an apocalyptic number.

208213824 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 208213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359468928).

208213824 is an abundant number, since it is smaller than the sum of its proper divisors (510724032).

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

208213824 is a wasteful number, since it uses less digits than its factorization.

208213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 208213824 is about 14429.6162111125. The cubic root of 208213824 is about 592.7021738802.

The spelling of 208213824 in words is "two hundred eight million, two hundred thirteen thousand, eight hundred twenty-four".