684828144 has 240 divisors, whose sum is σ = 2573835264. Its totient is φ = 164160000.

The previous prime is 684828139. The next prime is 684828167. The reversal of 684828144 is 441828486.

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

It is a self number, because there is not a number n which added to its sum of digits gives 684828144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141769 + ... + 146519.

Almost surely, 2^684828144 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 684828144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286917632).

684828144 is an abundant number, since it is smaller than the sum of its proper divisors (1889007120).

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

684828144 is a wasteful number, since it uses less digits than its factorization.

684828144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796 (or 4787 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 684828144 is about 26169.2213105396. The cubic root of 684828144 is about 881.4422561675.

It can be divided in two parts, 684 and 828144, that added together give a palindrome (828828).

The spelling of 684828144 in words is "six hundred eighty-four million, eight hundred twenty-eight thousand, one hundred forty-four".