208639648 has 72 divisors (see below), whose sum is σ = 480561984. Its totient is φ = 88905600.

The previous prime is 208639643. The next prime is 208639661. The reversal of 208639648 is 846936802.

It is a happy number.

208639648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 208639598 and 208639607.

It is not an unprimeable number, because it can be changed into a prime (208639643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424683 + ... + 425173.

It is an arithmetic number, because the mean of its divisors is an integer number (6674472).

Almost surely, 2^208639648 is an apocalyptic number.

208639648 is a gapful number since it is divisible by the number (28) 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 208639648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240280992).

208639648 is an abundant number, since it is smaller than the sum of its proper divisors (271922336).

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

208639648 is a wasteful number, since it uses less digits than its factorization.

208639648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 208639648 is about 14444.3638835360. The cubic root of 208639648 is about 593.1059494259.

The spelling of 208639648 in words is "two hundred eight million, six hundred thirty-nine thousand, six hundred forty-eight".