684336 has 40 divisors (see below), whose sum is σ = 1807920. Its totient is φ = 222976.

The previous prime is 684329. The next prime is 684337. The reversal of 684336 is 633486.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (684337) by changing a digit.

684336 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, 2410 + ... + 2678.

It is an arithmetic number, because the mean of its divisors is an integer number (45198).

2⁶⁸⁴³³⁶ 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 684336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903960).

684336 is an abundant number, since it is smaller than the sum of its proper divisors (1123584).

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

684336 is a wasteful number, since it uses less digits than its factorization.

684336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 684336 is about 827.2460335354. The cubic root of 684336 is about 88.1231059399.

The spelling of 684336 in words is "six hundred eighty-four thousand, three hundred thirty-six".