682656 has 48 divisors (see below), whose sum is σ = 1933344. Its totient is φ = 209664.

The previous prime is 682637. The next prime is 682657. The reversal of 682656 is 656286.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (682657) 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, 975 + ... + 1521.

It is an arithmetic number, because the mean of its divisors is an integer number (40278).

2⁶⁸²⁶⁵⁶ 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 682656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966672).

682656 is an abundant number, since it is smaller than the sum of its proper divisors (1250688).

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

682656 is a wasteful number, since it uses less digits than its factorization.

682656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 682656 is about 826.2299921935. The cubic root of 682656 is about 88.0509347005.

The spelling of 682656 in words is "six hundred eighty-two thousand, six hundred fifty-six".