680832 has 64 divisors (see below), whose sum is σ = 2019600. Its totient is φ = 225792.

The previous prime is 680831. The next prime is 680857. The reversal of 680832 is 238086.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 680796 and 680805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680831) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3358 + ... + 3554.

2⁶⁸⁰⁸³² 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 680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009800).

680832 is an abundant number, since it is smaller than the sum of its proper divisors (1338768).

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

680832 is a wasteful number, since it uses less digits than its factorization.

680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 680832 is about 825.1254450082. The cubic root of 680832 is about 87.9724431622.

The spelling of 680832 in words is "six hundred eighty thousand, eight hundred thirty-two".