538208 has 36 divisors (see below), whose sum is σ = 1173060. Its totient is φ = 242880.

The previous prime is 538201. The next prime is 538247. The reversal of 538208 is 802835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538201) by changing a digit.

538208 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3803 + ... + 3941.

It is an arithmetic number, because the mean of its divisors is an integer number (32585).

2⁵³⁸²⁰⁸ 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 538208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586530).

538208 is an abundant number, since it is smaller than the sum of its proper divisors (634852).

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

538208 is a wasteful number, since it uses less digits than its factorization.

538208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 538208 is about 733.6266080235. The cubic root of 538208 is about 81.3423502201.

The spelling of 538208 in words is "five hundred thirty-eight thousand, two hundred eight".