684718320 has 320 divisors, whose sum is σ = 2537837568. Its totient is φ = 150528000.

The previous prime is 684718313. The next prime is 684718343. The reversal of 684718320 is 23817486.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2436580 + ... + 2436860.

Almost surely, 2^684718320 is an apocalyptic number.

684718320 is a gapful number since it is divisible by the number (60) 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 684718320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268918784).

684718320 is an abundant number, since it is smaller than the sum of its proper divisors (1853119248).

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

684718320 is a wasteful number, since it uses less digits than its factorization.

684718320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 684718320 is about 26167.1228834964. The cubic root of 684718320 is about 881.3951354943.

The spelling of 684718320 in words is "six hundred eighty-four million, seven hundred eighteen thousand, three hundred twenty".