682960 has 20 divisors (see below), whose sum is σ = 1588068. Its totient is φ = 273152.

The previous prime is 682951. The next prime is 682967. The reversal of 682960 is 69286.

682960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 440896 + 242064 = 664^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4189 + ... + 4348.

2⁶⁸²⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

682960 is an abundant number, since it is smaller than the sum of its proper divisors (905108).

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

682960 is a wasteful number, since it uses less digits than its factorization.

682960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8550 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 682960 is about 826.4139398631. The cubic root of 682960 is about 88.0640030256.

Subtracting from 682960 its product of nonzero digits (5184), we obtain a palindrome (677776).

It can be divided in two parts, 6829 and 60, that added together give a square (6889 = 83²).

The spelling of 682960 in words is "six hundred eighty-two thousand, nine hundred sixty".