684313344 has 432 divisors, whose sum is σ = 2428468224. Its totient is φ = 182476800.

The previous prime is 684313321. The next prime is 684313349. The reversal of 684313344 is 443313486.

It is a happy number.

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

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

Its product of digits (82944) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 684313299 and 684313308.

It is not an unprimeable number, because it can be changed into a prime (684313349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10213599 + ... + 10213665.

Almost surely, 2^684313344 is an apocalyptic number.

684313344 is a gapful number since it is divisible by the number (64) 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 684313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214234112).

684313344 is an abundant number, since it is smaller than the sum of its proper divisors (1744154880).

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

684313344 is a wasteful number, since it uses less digits than its factorization.

684313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 684313344 is about 26159.3834789737. The cubic root of 684313344 is about 881.2213344531.

It can be divided in two parts, 684 and 313344, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 684313344 in words is "six hundred eighty-four million, three hundred thirteen thousand, three hundred forty-four".