684828312 has 128 divisors (see below), whose sum is σ = 2083968000. Its totient is φ = 187106304.

The previous prime is 684828311. The next prime is 684828329. The reversal of 684828312 is 213828486.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684828311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187528 + ... + 191144.

It is an arithmetic number, because the mean of its divisors is an integer number (16281000).

Almost surely, 2^684828312 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 684828312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041984000).

684828312 is an abundant number, since it is smaller than the sum of its proper divisors (1399139688).

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

684828312 is a wasteful number, since it uses less digits than its factorization.

684828312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3652 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 684828312 is about 26169.2245204171. The cubic root of 684828312 is about 881.4423282451.

The spelling of 684828312 in words is "six hundred eighty-four million, eight hundred twenty-eight thousand, three hundred twelve".