208282320 has 160 divisors (see below), whose sum is σ = 722394240. Its totient is φ = 55157760.

The previous prime is 208282289. The next prime is 208282343. The reversal of 208282320 is 23282802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 455532 + ... + 455988.

It is an arithmetic number, because the mean of its divisors is an integer number (4514964).

Almost surely, 2^208282320 is an apocalyptic number.

208282320 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 208282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361197120).

208282320 is an abundant number, since it is smaller than the sum of its proper divisors (514111920).

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

208282320 is a wasteful number, since it uses less digits than its factorization.

208282320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 208282320 is about 14431.9894678454. The cubic root of 208282320 is about 592.7671604028.

The spelling of 208282320 in words is "two hundred eight million, two hundred eighty-two thousand, three hundred twenty".