683875968 has 128 divisors (see below), whose sum is σ = 1942080000. Its totient is φ = 212585472.

The previous prime is 683875961. The next prime is 683875981. The reversal of 683875968 is 869578386.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (683875961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488133 + ... + 489531.

It is an arithmetic number, because the mean of its divisors is an integer number (15172500).

Almost surely, 2^683875968 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 683875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971040000).

683875968 is an abundant number, since it is smaller than the sum of its proper divisors (1258204032).

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

683875968 is a wasteful number, since it uses less digits than its factorization.

683875968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1490 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The square root of 683875968 is about 26151.0223127127. The cubic root of 683875968 is about 881.0335514688.

The spelling of 683875968 in words is "six hundred eighty-three million, eight hundred seventy-five thousand, nine hundred sixty-eight".