683085000 has 320 divisors, whose sum is σ = 2393233920. Its totient is φ = 161280000.

The previous prime is 683084999. The next prime is 683085001. The reversal of 683085000 is 580386.

It is an interprime number because it is at equal distance from previous prime (683084999) and next prime (683085001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683085001) 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 79 ways as a sum of consecutive naturals, for example, 6044944 + ... + 6045056.

It is an arithmetic number, because the mean of its divisors is an integer number (7478856).

Almost surely, 2^683085000 is an apocalyptic number.

683085000 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 683085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196616960).

683085000 is an abundant number, since it is smaller than the sum of its proper divisors (1710148920).

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

683085000 is a wasteful number, since it uses less digits than its factorization.

683085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 683085000 is about 26135.8948574561. The cubic root of 683085000 is about 880.6937538949.

The spelling of 683085000 in words is "six hundred eighty-three million, eighty-five thousand".