838824 has 32 divisors (see below), whose sum is σ = 2397120. Its totient is φ = 239616.

The previous prime is 838813. The next prime is 838837. The reversal of 838824 is 428838.

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

It is a nialpdrome in base 16.

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, 2329 + ... + 2664.

It is an arithmetic number, because the mean of its divisors is an integer number (74910).

2⁸³⁸⁸²⁴ is an apocalyptic number.

838824 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

838824 is an abundant number, since it is smaller than the sum of its proper divisors (1558296).

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

838824 is a wasteful number, since it uses less digits than its factorization.

838824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 5005 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 838824 is about 915.8733536903. The cubic root of 838824 is about 94.3098272317.

The spelling of 838824 in words is "eight hundred thirty-eight thousand, eight hundred twenty-four".