1683868416 has 144 divisors (see below), whose sum is σ = 4676410368. Its totient is φ = 537292800.

The previous prime is 1683868357. The next prime is 1683868421. The reversal of 1683868416 is 6148683861.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2547126 + ... + 2547786.

It is an arithmetic number, because the mean of its divisors is an integer number (32475072).

Almost surely, 2^1683868416 is an apocalyptic number.

1683868416 is a gapful number since it is divisible by the number (16) 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 1683868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338205184).

1683868416 is an abundant number, since it is smaller than the sum of its proper divisors (2992541952).

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

1683868416 is a wasteful number, since it uses less digits than its factorization.

1683868416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 804 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 1683868416 is about 41034.9657731062. The cubic root of 1683868416 is about 1189.6961340757.

The spelling of 1683868416 in words is "one billion, six hundred eighty-three million, eight hundred sixty-eight thousand, four hundred sixteen".