838040 has 64 divisors (see below), whose sum is σ = 2237760. Its totient is φ = 276480.

The previous prime is 838039. The next prime is 838043. The reversal of 838040 is 40838.

838040 = 343² + 344² + ... + 349².

It is a super-2 number, since 2×838040² = 1404622083200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 837997 and 838015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838043) 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, 11444 + ... + 11516.

It is an arithmetic number, because the mean of its divisors is an integer number (34965).

2⁸³⁸⁰⁴⁰ 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 838040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118880).

838040 is an abundant number, since it is smaller than the sum of its proper divisors (1399720).

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

838040 is a wasteful number, since it uses less digits than its factorization.

838040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 838040 is about 915.4452468608. The cubic root of 838040 is about 94.2804361031.

Adding to 838040 its reverse (40838), we get a palindrome (878878).

The spelling of 838040 in words is "eight hundred thirty-eight thousand, forty".