838368 has 72 divisors (see below), whose sum is σ = 2476656. Its totient is φ = 268800.

The previous prime is 838367. The next prime is 838379. The reversal of 838368 is 863838.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27648) is a multiple of the sum of its prime factors (128).

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 838368.

It is not an unprimeable number, because it can be changed into a prime (838363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11773 + ... + 11843.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁸³⁸³⁶⁸ 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 838368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328).

838368 is an abundant number, since it is smaller than the sum of its proper divisors (1638288).

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

838368 is a wasteful number, since it uses less digits than its factorization.

838368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 838368 is about 915.6243771329. The cubic root of 838368 is about 94.2927346209.

The spelling of 838368 in words is "eight hundred thirty-eight thousand, three hundred sixty-eight".