682400 has 36 divisors (see below), whose sum is σ = 1667862. Its totient is φ = 272640.

The previous prime is 682373. The next prime is 682411. The reversal of 682400 is 4286.

It can be written as a sum of positive squares in 3 ways, for example, as 327184 + 355216 = 572^2 + 596^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

682400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 374 + ... + 1226.

2⁶⁸²⁴⁰⁰ 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 682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833931).

682400 is an abundant number, since it is smaller than the sum of its proper divisors (985462).

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

682400 is a wasteful number, since it uses less digits than its factorization.

682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 682400 is about 826.0750571225. The cubic root of 682400 is about 88.0399267855.

Adding to 682400 its reverse (4286), we get a palindrome (686686).

The spelling of 682400 in words is "six hundred eighty-two thousand, four hundred".