682720 has 48 divisors (see below), whose sum is σ = 1714608. Its totient is φ = 256000.

The previous prime is 682699. The next prime is 682723. The reversal of 682720 is 27286.

It is a super-2 number, since 2×682720² = 932213196800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682723) by changing a digit.

682720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2595 + ... + 2845.

It is an arithmetic number, because the mean of its divisors is an integer number (35721).

2⁶⁸²⁷²⁰ 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 682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857304).

682720 is an abundant number, since it is smaller than the sum of its proper divisors (1031888).

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

682720 is a wasteful number, since it uses less digits than its factorization.

682720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 682720 is about 826.2687214218. The cubic root of 682720 is about 88.0536862492.

The spelling of 682720 in words is "six hundred eighty-two thousand, seven hundred twenty".