838208 has 28 divisors (see below), whose sum is σ = 1901952. Its totient is φ = 359040.

The previous prime is 838207. The next prime is 838247. The reversal of 838208 is 802838.

It is a tau number, because it is divible by the number of its divisors (28).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (838207) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 488 + ... + 1383.

2⁸³⁸²⁰⁸ is an apocalyptic number.

It is an amenable number.

838208 is an abundant number, since it is smaller than the sum of its proper divisors (1063744).

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

838208 is a wasteful number, since it uses less digits than its factorization.

838208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 838208 is about 915.5370008907. The cubic root of 838208 is about 94.2867357448.

The spelling of 838208 in words is "eight hundred thirty-eight thousand, two hundred eight".