682968 has 64 divisors (see below), whose sum is σ = 2016000. Its totient is φ = 190080.

The previous prime is 682967. The next prime is 683003. The reversal of 682968 is 869286.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3333 + ... + 3531.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2⁶⁸²⁹⁶⁸ 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 682968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008000).

682968 is an abundant number, since it is smaller than the sum of its proper divisors (1333032).

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

682968 is a wasteful number, since it uses less digits than its factorization.

682968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 682968 is about 826.4187800383. The cubic root of 682968 is about 88.0643468766.

The spelling of 682968 in words is "six hundred eighty-two thousand, nine hundred sixty-eight".