683826520 has 128 divisors (see below), whose sum is σ = 1741824000. Its totient is φ = 239869440.

The previous prime is 683826509. The next prime is 683826523. The reversal of 683826520 is 25628386.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683826523) 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 31 ways as a sum of consecutive naturals, for example, 950721 + ... + 951439.

It is an arithmetic number, because the mean of its divisors is an integer number (13608000).

Almost surely, 2^683826520 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 683826520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912000).

683826520 is an abundant number, since it is smaller than the sum of its proper divisors (1057997480).

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

683826520 is a wasteful number, since it uses less digits than its factorization.

683826520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 683826520 is about 26150.0768641318. The cubic root of 683826520 is about 881.0123164305.

The spelling of 683826520 in words is "six hundred eighty-three million, eight hundred twenty-six thousand, five hundred twenty".