208069680 has 240 divisors, whose sum is σ = 808635744. Its totient is φ = 43868160.

The previous prime is 208069651. The next prime is 208069691. The reversal of 208069680 is 86960802.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152200 + ... + 153560.

Almost surely, 2^208069680 is an apocalyptic number.

208069680 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 208069680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404317872).

208069680 is an abundant number, since it is smaller than the sum of its proper divisors (600566064).

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

208069680 is a wasteful number, since it uses less digits than its factorization.

208069680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 208069680 is about 14424.6206189279. The cubic root of 208069680 is about 592.5653687069.

The spelling of 208069680 in words is "two hundred eight million, sixty-nine thousand, six hundred eighty".