684208 has 40 divisors (see below), whose sum is σ = 1562400. Its totient is φ = 284160.

The previous prime is 684191. The next prime is 684217. The reversal of 684208 is 802486.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4518 + ... + 4666.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2⁶⁸⁴²⁰⁸ 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 684208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781200).

684208 is an abundant number, since it is smaller than the sum of its proper divisors (878192).

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

684208 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 684208 = (428068)₁₁.

684208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 684208 is about 827.1686647837. The cubic root of 684208 is about 88.1176113383.

The spelling of 684208 in words is "six hundred eighty-four thousand, two hundred eight".