262208 has 28 divisors (see below), whose sum is σ = 553212. Its totient is φ = 122880.

The previous prime is 262193. The next prime is 262217. The reversal of 262208 is 802262.

262208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 61504 = 448^2 + 248^2 .

It is a d-powerful number, because it can be written as 2² + 6² + 2⁴ + 2¹⁸ + 0 + 8 .

It is a self number, because there is not a number n which added to its sum of digits gives 262208.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 262208.

It is an unprimeable number.

262208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 968 + ... + 1208.

2²⁶²²⁰⁸ 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 262208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276606).

262208 is an abundant number, since it is smaller than the sum of its proper divisors (291004).

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

262208 is a wasteful number, since it uses less digits than its factorization.

262208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 262208 is about 512.0624961858. The cubic root of 262208 is about 64.0052079095.

The spelling of 262208 in words is "two hundred sixty-two thousand, two hundred eight".