683205006 has 64 divisors (see below), whose sum is σ = 1520384256. Its totient is φ = 202944000.

The previous prime is 683204987. The next prime is 683205007. The reversal of 683205006 is 600502386.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683205007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752805 + ... + 753711.

It is an arithmetic number, because the mean of its divisors is an integer number (23756004).

Almost surely, 2^683205006 is an apocalyptic number.

683205006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 683205006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760192128).

683205006 is an abundant number, since it is smaller than the sum of its proper divisors (837179250).

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

683205006 is a wasteful number, since it uses less digits than its factorization.

683205006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 683205006 is about 26138.1905647656. The cubic root of 683205006 is about 880.7453250005.

The spelling of 683205006 in words is "six hundred eighty-three million, two hundred five thousand, six".