682506 has 40 divisors (see below), whose sum is σ = 1672704. Its totient is φ = 206280.

The previous prime is 682489. The next prime is 682511. The reversal of 682506 is 605286.

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

It is a self number, because there is not a number n which added to its sum of digits gives 682506.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 682506.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1591 + ... + 1973.

2⁶⁸²⁵⁰⁶ is an apocalyptic number.

682506 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 682506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836352).

682506 is an abundant number, since it is smaller than the sum of its proper divisors (990198).

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

682506 is a wasteful number, since it uses less digits than its factorization.

682506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 682506 is about 826.1392134501. The cubic root of 682506 is about 88.0444850842.

The spelling of 682506 in words is "six hundred eighty-two thousand, five hundred six".