208086948 has 96 divisors (see below), whose sum is σ = 565824000. Its totient is φ = 66122784.

The previous prime is 208086929. The next prime is 208086961. The reversal of 208086948 is 849680802.

It is a happy number.

208086948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2633973 + ... + 2634051.

It is an arithmetic number, because the mean of its divisors is an integer number (5894000).

Almost surely, 2^208086948 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 208086948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282912000).

208086948 is an abundant number, since it is smaller than the sum of its proper divisors (357737052).

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

208086948 is an equidigital number, since it uses as much as digits as its factorization.

208086948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 208086948 is about 14425.2191664460. The cubic root of 208086948 is about 592.5817608689.

The spelling of 208086948 in words is "two hundred eight million, eighty-six thousand, nine hundred forty-eight".