208218816 has 336 divisors, whose sum is σ = 713963520. Its totient is φ = 59304960.

The previous prime is 208218779. The next prime is 208218817. The reversal of 208218816 is 618812802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208218817) 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 47 ways as a sum of consecutive naturals, for example, 6716721 + ... + 6716751.

Almost surely, 2^208218816 is an apocalyptic number.

208218816 is a gapful number since it is divisible by the number (26) 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 208218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356981760).

208218816 is an abundant number, since it is smaller than the sum of its proper divisors (505744704).

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

208218816 is a wasteful number, since it uses less digits than its factorization.

208218816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 208218816 is about 14429.7891876493. The cubic root of 208218816 is about 592.7069105904.

It can be divided in two parts, 208 and 218816, that added together give a square (219024 = 468²).

The spelling of 208218816 in words is "two hundred eight million, two hundred eighteen thousand, eight hundred sixteen".