682830 has 48 divisors (see below), whose sum is σ = 1847664. Its totient is φ = 181440.

The previous prime is 682819. The next prime is 682901. The reversal of 682830 is 38286.

It is a super-4 number, since 4×682830⁴ (a number of 24 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 682794 and 682803.

It is a congruent number.

It is an unprimeable number.

682830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2290 + ... + 2570.

It is an arithmetic number, because the mean of its divisors is an integer number (38493).

2⁶⁸²⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923832).

682830 is an abundant number, since it is smaller than the sum of its proper divisors (1164834).

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

682830 is a wasteful number, since it uses less digits than its factorization.

682830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

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

The square root of 682830 is about 826.3352830419. The cubic root of 682830 is about 88.0584150718.

The spelling of 682830 in words is "six hundred eighty-two thousand, eight hundred thirty".