684403104 has 288 divisors, whose sum is σ = 2380976640. Its totient is φ = 168030720.

The previous prime is 684403087. The next prime is 684403117. The reversal of 684403104 is 401304486.

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, 1544707 + ... + 1545149.

It is an arithmetic number, because the mean of its divisors is an integer number (8267280).

Almost surely, 2^684403104 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 684403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190488320).

684403104 is an abundant number, since it is smaller than the sum of its proper divisors (1696573536).

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

684403104 is a wasteful number, since it uses less digits than its factorization.

684403104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 684403104 is about 26161.0990594814. The cubic root of 684403104 is about 881.2598621098.

The spelling of 684403104 in words is "six hundred eighty-four million, four hundred three thousand, one hundred four".