683058960 has 240 divisors, whose sum is σ = 2452938240. Its totient is φ = 174528000.

The previous prime is 683058931. The next prime is 683058967. The reversal of 683058960 is 69850386.

683058960 is a `hidden beast` number, since 6 + 8 + 3 + 0 + 589 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683058967) 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, 6762910 + ... + 6763010.

It is an arithmetic number, because the mean of its divisors is an integer number (10220576).

Almost surely, 2^683058960 is an apocalyptic number.

683058960 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 683058960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226469120).

683058960 is an abundant number, since it is smaller than the sum of its proper divisors (1769879280).

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

683058960 is a wasteful number, since it uses less digits than its factorization.

683058960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 683058960 is about 26135.3966872516. The cubic root of 683058960 is about 880.6825627270.

The spelling of 683058960 in words is "six hundred eighty-three million, fifty-eight thousand, nine hundred sixty".