208082320 has 20 divisors (see below), whose sum is σ = 483791580. Its totient is φ = 83232896.

The previous prime is 208082299. The next prime is 208082341. The reversal of 208082320 is 23280802.

It is an interprime number because it is at equal distance from previous prime (208082299) and next prime (208082341).

It can be written as a sum of positive squares in 2 ways, for example, as 131974144 + 76108176 = 11488^2 + 8724^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1300435 + ... + 1300594.

It is an arithmetic number, because the mean of its divisors is an integer number (24189579).

Almost surely, 2^208082320 is an apocalyptic number.

208082320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208082320 is an abundant number, since it is smaller than the sum of its proper divisors (275709260).

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

208082320 is a wasteful number, since it uses less digits than its factorization.

208082320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601042 (or 2601036 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 208082320 is about 14425.0587520467. The cubic root of 208082320 is about 592.5773676914.

The spelling of 208082320 in words is "two hundred eight million, eighty-two thousand, three hundred twenty".