838420 has 48 divisors (see below), whose sum is σ = 1991808. Its totient is φ = 293760.

The previous prime is 838403. The next prime is 838421. The reversal of 838420 is 24838.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

838420 is a Rhonda number in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8089 + ... + 8191.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

2⁸³⁸⁴²⁰ 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 838420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995904).

838420 is an abundant number, since it is smaller than the sum of its proper divisors (1153388).

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

838420 is a wasteful number, since it uses less digits than its factorization.

838420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 838420 is about 915.6527726163. The cubic root of 838420 is about 94.2946840913.

The spelling of 838420 in words is "eight hundred thirty-eight thousand, four hundred twenty".