682000 has 80 divisors (see below), whose sum is σ = 1857024. Its totient is φ = 240000.

The previous prime is 681997. The next prime is 682001. The reversal of 682000 is 286.

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21985 + ... + 22015.

2⁶⁸²⁰⁰⁰ 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 682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928512).

682000 is an abundant number, since it is smaller than the sum of its proper divisors (1175024).

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

682000 is a wasteful number, since it uses less digits than its factorization.

682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 682000 is about 825.8329128825. The cubic root of 682000 is about 88.0227214056.

Adding to 682000 its reverse (286), we get a palindrome (682286).

The spelling of 682000 in words is "six hundred eighty-two thousand".