208349820 has 240 divisors, whose sum is σ = 787100160. Its totient is φ = 45069696.

The previous prime is 208349819. The next prime is 208349821. The reversal of 208349820 is 28943802.

It is an interprime number because it is at equal distance from previous prime (208349819) and next prime (208349821).

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 (208349821) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 214977 + ... + 215943.

It is an arithmetic number, because the mean of its divisors is an integer number (3279584).

Almost surely, 2^208349820 is an apocalyptic number.

208349820 is a gapful number since it is divisible by the number (20) 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 208349820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393550080).

208349820 is an abundant number, since it is smaller than the sum of its proper divisors (578750340).

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

208349820 is a wasteful number, since it uses less digits than its factorization.

208349820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 208349820 is about 14434.3278333284. The cubic root of 208349820 is about 592.8311880197.

The spelling of 208349820 in words is "two hundred eight million, three hundred forty-nine thousand, eight hundred twenty".