684443232 has 288 divisors, whose sum is σ = 2278523520. Its totient is φ = 192706560.

The previous prime is 684443231. The next prime is 684443237. The reversal of 684443232 is 232344486.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (684443231) 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 47 ways as a sum of consecutive naturals, for example, 4995868 + ... + 4996004.

It is an arithmetic number, because the mean of its divisors is an integer number (7911540).

Almost surely, 2^684443232 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 684443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139261760).

684443232 is an abundant number, since it is smaller than the sum of its proper divisors (1594080288).

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

684443232 is a wasteful number, since it uses less digits than its factorization.

684443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 684443232 is about 26161.8659884955. The cubic root of 684443232 is about 881.2770851491.

The spelling of 684443232 in words is "six hundred eighty-four million, four hundred forty-three thousand, two hundred thirty-two".