838104 has 32 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 273056.

The previous prime is 838099. The next prime is 838133. The reversal of 838104 is 401838.

838104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 838104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

2⁸³⁸¹⁰⁴ 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 838104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

838104 is an abundant number, since it is smaller than the sum of its proper divisors (1304616).

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

838104 is a wasteful number, since it uses less digits than its factorization.

838104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 838104 is about 915.4802018613. The cubic root of 838104 is about 94.2828360659.

The spelling of 838104 in words is "eight hundred thirty-eight thousand, one hundred four".