683684352 has 240 divisors, whose sum is σ = 2164970808. Its totient is φ = 206438400.

The previous prime is 683684341. The next prime is 683684357. The reversal of 683684352 is 253486386.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 452157696 + 231526656 = 21264^2 + 15216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 683684298 and 683684307.

It is not an unprimeable number, because it can be changed into a prime (683684357) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6050248 + ... + 6050360.

Almost surely, 2^683684352 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 683684352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082485404).

683684352 is an abundant number, since it is smaller than the sum of its proper divisors (1481286456).

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

683684352 is a wasteful number, since it uses less digits than its factorization.

683684352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 683684352 is about 26147.3584134230. The cubic root of 683684352 is about 880.9512578451.

It can be divided in two parts, 683 and 684352, that added together give a triangular number (685035 = T₁₁₇₀).

The spelling of 683684352 in words is "six hundred eighty-three million, six hundred eighty-four thousand, three hundred fifty-two".