838200 has 96 divisors (see below), whose sum is σ = 2856960. Its totient is φ = 201600.

The previous prime is 838193. The next prime is 838207. The reversal of 838200 is 2838.

It is an interprime number because it is at equal distance from previous prime (838193) and next prime (838207).

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838200.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6537 + ... + 6663.

It is an arithmetic number, because the mean of its divisors is an integer number (29760).

2⁸³⁸²⁰⁰ 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 838200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428480).

838200 is an abundant number, since it is smaller than the sum of its proper divisors (2018760).

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

838200 is a wasteful number, since it uses less digits than its factorization.

838200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 838200 is about 915.5326318597. The cubic root of 838200 is about 94.2864357809.

The spelling of 838200 in words is "eight hundred thirty-eight thousand, two hundred".