208671872 has 48 divisors (see below), whose sum is σ = 441683970. Its totient is φ = 98181120.

The previous prime is 208671871. The next prime is 208671913. The reversal of 208671872 is 278176802.

It can be written as a sum of positive squares in 3 ways, for example, as 196672576 + 11999296 = 14024^2 + 3464^2 .

It is not an unprimeable number, because it can be changed into a prime (208671871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34172 + ... + 39812.

Almost surely, 2^208671872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220841985).

208671872 is an abundant number, since it is smaller than the sum of its proper divisors (233012098).

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

208671872 is an equidigital number, since it uses as much as digits as its factorization.

208671872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5689 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 208671872 is about 14445.4792928445. The cubic root of 208671872 is about 593.1364825524.

The spelling of 208671872 in words is "two hundred eight million, six hundred seventy-one thousand, eight hundred seventy-two".