683688960 has 264 divisors, whose sum is σ = 2439057816. Its totient is φ = 176947200.

The previous prime is 683688919. The next prime is 683688979. The reversal of 683688960 is 69886386.

It can be written as a sum of positive squares in 4 ways, for example, as 414203904 + 269485056 = 20352^2 + 16416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 683688897 and 683688906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1704760 + ... + 1705160.

Almost surely, 2^683688960 is an apocalyptic number.

683688960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219528908).

683688960 is an abundant number, since it is smaller than the sum of its proper divisors (1755368856).

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

683688960 is a wasteful number, since it uses less digits than its factorization.

683688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 683688960 is about 26147.4465292502. The cubic root of 683688960 is about 880.9532370305.

The spelling of 683688960 in words is "six hundred eighty-three million, six hundred eighty-eight thousand, nine hundred sixty".