684828 has 48 divisors (see below), whose sum is σ = 1884960. Its totient is φ = 214272.

The previous prime is 684809. The next prime is 684829. The reversal of 684828 is 828486.

684828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 684792 and 684801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650 + ... + 2022.

It is an arithmetic number, because the mean of its divisors is an integer number (39270).

2⁶⁸⁴⁸²⁸ is an apocalyptic number.

684828 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942480).

684828 is an abundant number, since it is smaller than the sum of its proper divisors (1200132).

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

684828 is a wasteful number, since it uses less digits than its factorization.

684828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 684828 is about 827.5433523387. The cubic root of 684828 is about 88.1442194387.

The spelling of 684828 in words is "six hundred eighty-four thousand, eight hundred twenty-eight".