684124 has 24 divisors (see below), whose sum is σ = 1397088. Its totient is φ = 287040.

The previous prime is 684121. The next prime is 684127. The reversal of 684124 is 421486.

It is an interprime number because it is at equal distance from previous prime (684121) and next prime (684127).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684121) 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, 1254 + ... + 1714.

It is an arithmetic number, because the mean of its divisors is an integer number (58212).

2⁶⁸⁴¹²⁴ 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 684124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698544).

684124 is an abundant number, since it is smaller than the sum of its proper divisors (712964).

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

684124 is a wasteful number, since it uses less digits than its factorization.

684124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 684124 is about 827.1178876073. The cubic root of 684124 is about 88.1140051337.

It can be divided in two parts, 684 and 124, that added together give a palindrome (808).

The spelling of 684124 in words is "six hundred eighty-four thousand, one hundred twenty-four".