684096 has 56 divisors (see below), whose sum is σ = 2072640. Its totient is φ = 195072.

The previous prime is 684091. The next prime is 684109. The reversal of 684096 is 690486.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (684091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1090 + ... + 1598.

2⁶⁸⁴⁰⁹⁶ 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 684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036320).

684096 is an abundant number, since it is smaller than the sum of its proper divisors (1388544).

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

684096 is a wasteful number, since it uses less digits than its factorization.

684096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 684096 is about 827.1009611891. The cubic root of 684096 is about 88.1128029998.

The spelling of 684096 in words is "six hundred eighty-four thousand, ninety-six".