208481680 has 160 divisors (see below), whose sum is σ = 573356160. Its totient is φ = 69672960.

The previous prime is 208481671. The next prime is 208481681. The reversal of 208481680 is 86184802.

It is a super-2 number, since 2×208481680² = 86929221791244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (208481681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618472 + ... + 618808.

It is an arithmetic number, because the mean of its divisors is an integer number (3583476).

Almost surely, 2^208481680 is an apocalyptic number.

208481680 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 208481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286678080).

208481680 is an abundant number, since it is smaller than the sum of its proper divisors (364874480).

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

208481680 is a wasteful number, since it uses less digits than its factorization.

208481680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 208481680 is about 14438.8946945395. The cubic root of 208481680 is about 592.9562249014.

The spelling of 208481680 in words is "two hundred eight million, four hundred eighty-one thousand, six hundred eighty".