208007296 has 64 divisors (see below), whose sum is σ = 479465280. Its totient is φ = 88040448.

The previous prime is 208007287. The next prime is 208007311. The reversal of 208007296 is 692700802.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 72970 + ... + 75766.

It is an arithmetic number, because the mean of its divisors is an integer number (7491645).

Almost surely, 2^208007296 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 208007296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239732640).

208007296 is an abundant number, since it is smaller than the sum of its proper divisors (271457984).

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

208007296 is an equidigital number, since it uses as much as digits as its factorization.

208007296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 208007296 is about 14422.4580429274. The cubic root of 208007296 is about 592.5061412836.

The spelling of 208007296 in words is "two hundred eight million, seven thousand, two hundred ninety-six".