684343296 has 480 divisors, whose sum is σ = 2642330880. Its totient is φ = 169869312.

The previous prime is 684343243. The next prime is 684343307. The reversal of 684343296 is 692343486.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40255480 + ... + 40255496.

It is an arithmetic number, because the mean of its divisors is an integer number (5504856).

Almost surely, 2^684343296 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 684343296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321165440).

684343296 is an abundant number, since it is smaller than the sum of its proper divisors (1957987584).

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

684343296 is a wasteful number, since it uses less digits than its factorization.

684343296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 42 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 684343296 is about 26159.9559632657. The cubic root of 684343296 is about 881.2341911152.

The spelling of 684343296 in words is "six hundred eighty-four million, three hundred forty-three thousand, two hundred ninety-six".