682816 has 28 divisors (see below), whose sum is σ = 1389888. Its totient is φ = 332672.

The previous prime is 682811. The next prime is 682819. The reversal of 682816 is 618286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2895 + ... + 3121.

2⁶⁸²⁸¹⁶ 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 682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694944).

682816 is an abundant number, since it is smaller than the sum of its proper divisors (707072).

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

682816 is a wasteful number, since it uses less digits than its factorization.

682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 682816 is about 826.3268118608. The cubic root of 682816 is about 88.0578132499.

The spelling of 682816 in words is "six hundred eighty-two thousand, eight hundred sixteen".