208980600 has 96 divisors (see below), whose sum is σ = 650256000. Its totient is φ = 55520640.

The previous prime is 208980587. The next prime is 208980617. The reversal of 208980600 is 6089802.

208980600 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226941 + ... + 227859.

It is an arithmetic number, because the mean of its divisors is an integer number (6773500).

Almost surely, 2^208980600 is an apocalyptic number.

208980600 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 208980600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325128000).

208980600 is an abundant number, since it is smaller than the sum of its proper divisors (441275400).

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

208980600 is a wasteful number, since it uses less digits than its factorization.

208980600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 208980600 is about 14456.1613162001. The cubic root of 208980600 is about 593.4288516282.

The spelling of 208980600 in words is "two hundred eight million, nine hundred eighty thousand, six hundred".