684032 has 26 divisors (see below), whose sum is σ = 1376088. Its totient is φ = 339968.

The previous prime is 684017. The next prime is 684037. The reversal of 684032 is 230486.

It is a happy number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 683989 and 684007.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 684032.

It is not an unprimeable number, because it can be changed into a prime (684037) by changing a digit.

684032 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4013 + ... + 4179.

2⁶⁸⁴⁰³² 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 684032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688044).

684032 is an abundant number, since it is smaller than the sum of its proper divisors (692056).

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

684032 is an equidigital number, since it uses as much as digits as its factorization.

684032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 684032 is about 827.0622709325. The cubic root of 684032 is about 88.1100551422.

The spelling of 684032 in words is "six hundred eighty-four thousand, thirty-two".