1683087336 has 320 divisors, whose sum is σ = 5784768000. Its totient is φ = 446497920.

The previous prime is 1683087319. The next prime is 1683087349. The reversal of 1683087336 is 6337803861.

1683087336 is a `hidden beast` number, since 1 + 6 + 8 + 308 + 7 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1683087291 and 1683087300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5084691 + ... + 5085021.

It is an arithmetic number, because the mean of its divisors is an integer number (18077400).

Almost surely, 2^1683087336 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 1683087336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892384000).

1683087336 is an abundant number, since it is smaller than the sum of its proper divisors (4101680664).

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

1683087336 is a wasteful number, since it uses less digits than its factorization.

1683087336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1683087336 is about 41025.4474198637. The cubic root of 1683087336 is about 1189.5121546220.

The spelling of 1683087336 in words is "one billion, six hundred eighty-three million, eighty-seven thousand, three hundred thirty-six".