682304 has 28 divisors (see below), whose sum is σ = 1548384. Its totient is φ = 292224.

The previous prime is 682303. The next prime is 682307. The reversal of 682304 is 403286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 682304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682303) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 314 + ... + 1209.

2⁶⁸²³⁰⁴ is an apocalyptic number.

682304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

682304 is an abundant number, since it is smaller than the sum of its proper divisors (866080).

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

682304 is a wasteful number, since it uses less digits than its factorization.

682304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 682304 is about 826.0169489787. The cubic root of 682304 is about 88.0357981077.

The spelling of 682304 in words is "six hundred eighty-two thousand, three hundred four".