208964752 has 80 divisors (see below), whose sum is σ = 441043200. Its totient is φ = 95648256.

The previous prime is 208964737. The next prime is 208964753. The reversal of 208964752 is 257469802.

It is a junction number, because it is equal to n+sod(n) for n = 208964699 and 208964708.

It is not an unprimeable number, because it can be changed into a prime (208964753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1402374 + ... + 1402522.

It is an arithmetic number, because the mean of its divisors is an integer number (5513040).

Almost surely, 2^208964752 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 208964752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220521600).

208964752 is an abundant number, since it is smaller than the sum of its proper divisors (232078448).

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

208964752 is a wasteful number, since it uses less digits than its factorization.

208964752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 208964752 is about 14455.6131658259. The cubic root of 208964752 is about 593.4138503981.

The spelling of 208964752 in words is "two hundred eight million, nine hundred sixty-four thousand, seven hundred fifty-two".