682448 has 40 divisors (see below), whose sum is σ = 1515528. Its totient is φ = 294912.

The previous prime is 682447. The next prime is 682463. The reversal of 682448 is 844286.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 652864 = 172^2 + 808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3440 + ... + 3632.

2⁶⁸²⁴⁴⁸ is an apocalyptic number.

682448 is a gapful number since it is divisible by the number (68) 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 682448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757764).

682448 is an abundant number, since it is smaller than the sum of its proper divisors (833080).

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

682448 is a wasteful number, since it uses less digits than its factorization.

682448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 682448 is about 826.1041096617. The cubic root of 682448 is about 88.0419909793.

It can be divided in two parts, 68 and 2448, that multiplied together give a square (166464 = 408²).

The spelling of 682448 in words is "six hundred eighty-two thousand, four hundred forty-eight".