682500 has 120 divisors (see below), whose sum is σ = 2449216. Its totient is φ = 144000.

The previous prime is 682489. The next prime is 682511. The reversal of 682500 is 5286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (682489) and next prime (682511).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52494 + ... + 52506.

2⁶⁸²⁵⁰⁰ is an apocalyptic number.

682500 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 682500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224608).

682500 is an abundant number, since it is smaller than the sum of its proper divisors (1766716).

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

682500 is a wasteful number, since it uses less digits than its factorization.

682500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 682500 is about 826.1355820929. The cubic root of 682500 is about 88.0442270799.

Adding to 682500 its reverse (5286), we get a palindrome (687786).

The spelling of 682500 in words is "six hundred eighty-two thousand, five hundred".