1683612000 has 768 divisors, whose sum is σ = 7472424960. Its totient is φ = 359424000.

The previous prime is 1683611989. The next prime is 1683612001. The reversal of 1683612000 is 2163861.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683612001) 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 127 ways as a sum of consecutive naturals, for example, 12851935 + ... + 12852065.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720).

Almost surely, 2^1683612000 is an apocalyptic number.

1683612000 is a gapful number since it is divisible by the number (10) 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 1683612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736212480).

1683612000 is an abundant number, since it is smaller than the sum of its proper divisors (5788812960).

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

1683612000 is a wasteful number, since it uses less digits than its factorization.

1683612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1683612000 is about 41031.8412942924. The cubic root of 1683612000 is about 1189.6357428546.

Adding to 1683612000 its reverse (2163861), we get a palindrome (1685775861).

The spelling of 1683612000 in words is "one billion, six hundred eighty-three million, six hundred twelve thousand".