682724 has 24 divisors (see below), whose sum is σ = 1404480. Its totient is φ = 284256.

The previous prime is 682723. The next prime is 682729. The reversal of 682724 is 427286.

682724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×682724² = 932224120352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (682723) 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, 707 + ... + 1365.

It is an arithmetic number, because the mean of its divisors is an integer number (58520).

2⁶⁸²⁷²⁴ 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 682724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702240).

682724 is an abundant number, since it is smaller than the sum of its proper divisors (721756).

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

682724 is a wasteful number, since it uses less digits than its factorization.

682724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 682724 is about 826.2711419383. The cubic root of 682724 is about 88.0538582153.

The spelling of 682724 in words is "six hundred eighty-two thousand, seven hundred twenty-four".