208089648 has 240 divisors, whose sum is σ = 682456320. Its totient is φ = 60901632.

The previous prime is 208089647. The next prime is 208089649. The reversal of 208089648 is 846980802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (208089647) and next prime (208089649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208089643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1162423 + ... + 1162601.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^208089648 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 208089648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

208089648 is an abundant number, since it is smaller than the sum of its proper divisors (474366672).

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

208089648 is a wasteful number, since it uses less digits than its factorization.

208089648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

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

The square root of 208089648 is about 14425.3127522422. The cubic root of 208089648 is about 592.5843238422.

The spelling of 208089648 in words is "two hundred eight million, eighty-nine thousand, six hundred forty-eight".