682560 has 112 divisors (see below), whose sum is σ = 2438400. Its totient is φ = 179712.

The previous prime is 682547. The next prime is 682597. The reversal of 682560 is 65286.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

682560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8601 + ... + 8679.

2⁶⁸²⁵⁶⁰ is an apocalyptic number.

682560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219200).

682560 is an abundant number, since it is smaller than the sum of its proper divisors (1755840).

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

682560 is a wasteful number, since it uses less digits than its factorization.

682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 682560 is about 826.1718949468. The cubic root of 682560 is about 88.0468070549.

It can be divided in two parts, 68 and 2560, that added together give a triangular number (2628 = T₇₂).

The spelling of 682560 in words is "six hundred eighty-two thousand, five hundred sixty".