682880 has 64 divisors (see below), whose sum is σ = 1799280. Its totient is φ = 245760.

The previous prime is 682819. The next prime is 682901. The reversal of 682880 is 88286.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

682880 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, 6992 + ... + 7088.

2⁶⁸²⁸⁸⁰ 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 682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899640).

682880 is an abundant number, since it is smaller than the sum of its proper divisors (1116400).

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

682880 is a wasteful number, since it uses less digits than its factorization.

682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 682880 is about 826.3655365515. The cubic root of 682880 is about 88.0605643687.

The spelling of 682880 in words is "six hundred eighty-two thousand, eight hundred eighty".