684144 has 30 divisors (see below), whose sum is σ = 1915056. Its totient is φ = 228000.

The previous prime is 684127. The next prime is 684157. The reversal of 684144 is 441486.

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

It is a congruent number.

It is an unprimeable number.

684144 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 5 ways as a sum of consecutive naturals, for example, 2232 + ... + 2519.

2⁶⁸⁴¹⁴⁴ is an apocalyptic number.

It is an amenable number.

684144 is an abundant number, since it is smaller than the sum of its proper divisors (1230912).

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

684144 is a wasteful number, since it uses less digits than its factorization.

684144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765 (or 4756 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 684144 is about 827.1299776940. The cubic root of 684144 is about 88.1148637806.

It can be divided in two parts, 684 and 144, that added together give a palindrome (828).

The spelling of 684144 in words is "six hundred eighty-four thousand, one hundred forty-four".