684038320 has 80 divisors (see below), whose sum is σ = 1827293760. Its totient is φ = 233275392.

The previous prime is 684038293. The next prime is 684038339. The reversal of 684038320 is 23830486.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104916 + ... + 111244.

It is an arithmetic number, because the mean of its divisors is an integer number (22841172).

Almost surely, 2^684038320 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 684038320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913646880).

684038320 is an abundant number, since it is smaller than the sum of its proper divisors (1143255440).

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

684038320 is a wasteful number, since it uses less digits than its factorization.

684038320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 684038320 is about 26154.1262518938. The cubic root of 684038320 is about 881.1032650077.

The spelling of 684038320 in words is "six hundred eighty-four million, thirty-eight thousand, three hundred twenty".