208965248 has 32 divisors (see below), whose sum is σ = 418174500. Its totient is φ = 104011776.

The previous prime is 208965247. The next prime is 208965277. The reversal of 208965248 is 842569802.

It can be written as a sum of positive squares in 2 ways, for example, as 187361344 + 21603904 = 13688^2 + 4648^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 208965199 and 208965208.

It is not an unprimeable number, because it can be changed into a prime (208965247) 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 3 ways as a sum of consecutive naturals, for example, 25748 + ... + 32876.

Almost surely, 2^208965248 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 208965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209087250).

208965248 is an abundant number, since it is smaller than the sum of its proper divisors (209209252).

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

208965248 is an equidigital number, since it uses as much as digits as its factorization.

208965248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372 (or 7360 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 208965248 is about 14455.6303217812. The cubic root of 208965248 is about 593.4143199080.

The spelling of 208965248 in words is "two hundred eight million, nine hundred sixty-five thousand, two hundred forty-eight".