208349680 has 160 divisors (see below), whose sum is σ = 610675200. Its totient is φ = 64220160.

The previous prime is 208349657. The next prime is 208349681. The reversal of 208349680 is 86943802.

208349680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×208349680² = 86819178312204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208349681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917727 + ... + 917953.

It is an arithmetic number, because the mean of its divisors is an integer number (3816720).

Almost surely, 2^208349680 is an apocalyptic number.

208349680 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 208349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305337600).

208349680 is an abundant number, since it is smaller than the sum of its proper divisors (402325520).

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

208349680 is a wasteful number, since it uses less digits than its factorization.

208349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 208349680 is about 14434.3229837772. The cubic root of 208349680 is about 592.8310552360.

The spelling of 208349680 in words is "two hundred eight million, three hundred forty-nine thousand, six hundred eighty".