838320 has 80 divisors (see below), whose sum is σ = 2976000. Its totient is φ = 191232.

The previous prime is 838249. The next prime is 838349. The reversal of 838320 is 23838.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

838320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1431 + ... + 1929.

It is an arithmetic number, because the mean of its divisors is an integer number (37200).

2⁸³⁸³²⁰ is an apocalyptic number.

838320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488000).

838320 is an abundant number, since it is smaller than the sum of its proper divisors (2137680).

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

838320 is a wasteful number, since it uses less digits than its factorization.

838320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 838320 is about 915.5981651358. The cubic root of 838320 is about 94.2909350382.

The spelling of 838320 in words is "eight hundred thirty-eight thousand, three hundred twenty".