684632 has 32 divisors (see below), whose sum is σ = 1436400. Its totient is φ = 303744.

The previous prime is 684617. The next prime is 684637. The reversal of 684632 is 236486.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 684595 and 684604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684637) by changing a digit.

684632 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, 2903 + ... + 3129.

2⁶⁸⁴⁶³² 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 684632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718200).

684632 is an abundant number, since it is smaller than the sum of its proper divisors (751768).

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

684632 is a wasteful number, since it uses less digits than its factorization.

684632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 684632 is about 827.4249210653. The cubic root of 684632 is about 88.1358095823.

The spelling of 684632 in words is "six hundred eighty-four thousand, six hundred thirty-two".