208864242 has 48 divisors (see below), whose sum is σ = 478752768. Its totient is φ = 65672640.

The previous prime is 208864241. The next prime is 208864277. The reversal of 208864242 is 242468802.

It is a happy number.

208864242 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 642 + 4 + 2 = 666.

208864242 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 = 208864197 and 208864206.

It is not an unprimeable number, because it can be changed into a prime (208864241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26767 + ... + 33677.

It is an arithmetic number, because the mean of its divisors is an integer number (9974016).

Almost surely, 2^208864242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208864242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239376384).

208864242 is an abundant number, since it is smaller than the sum of its proper divisors (269888526).

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

208864242 is a wasteful number, since it uses less digits than its factorization.

208864242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7015 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 208864242 is about 14452.1362434763. The cubic root of 208864242 is about 593.3186930557.

The spelling of 208864242 in words is "two hundred eight million, eight hundred sixty-four thousand, two hundred forty-two".