838000 has 40 divisors (see below), whose sum is σ = 2031120. Its totient is φ = 334400.

The previous prime is 837979. The next prime is 838003. The reversal of 838000 is 838.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838003) by changing a digit.

838000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1791 + ... + 2209.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

2⁸³⁸⁰⁰⁰ is an apocalyptic number.

838000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015560).

838000 is an abundant number, since it is smaller than the sum of its proper divisors (1193120).

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

838000 is a wasteful number, since it uses less digits than its factorization.

838000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 838000 is about 915.4233993077. The cubic root of 838000 is about 94.2789360644.

Adding to 838000 its reverse (838), we get a palindrome (838838).

838000 divided by its reverse (838) gives a cube (1000 = 10³).

The spelling of 838000 in words is "eight hundred thirty-eight thousand".