683820 has 72 divisors (see below), whose sum is σ = 2162160. Its totient is φ = 174720.

The previous prime is 683819. The next prime is 683821. The reversal of 683820 is 28386.

It is an interprime number because it is at equal distance from previous prime (683819) and next prime (683821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5155 + ... + 5285.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2⁶⁸³⁸²⁰ is an apocalyptic number.

683820 is a gapful number since it is divisible by the number (60) 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 683820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081080).

683820 is an abundant number, since it is smaller than the sum of its proper divisors (1478340).

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

683820 is a wasteful number, since it uses less digits than its factorization.

683820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 683820 is about 826.9340965276. The cubic root of 683820 is about 88.1009516394.

The spelling of 683820 in words is "six hundred eighty-three thousand, eight hundred twenty".