1688304384 has 180 divisors, whose sum is σ = 5422331376. Its totient is φ = 519395328.

The previous prime is 1688304311. The next prime is 1688304389. The reversal of 1688304384 is 4834038861.

It is not an unprimeable number, because it can be changed into a prime (1688304389) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 266437 + ... + 272699.

Almost surely, 2^1688304384 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 1688304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711165688).

1688304384 is an abundant number, since it is smaller than the sum of its proper divisors (3734026992).

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

1688304384 is an equidigital number, since it uses as much as digits as its factorization.

1688304384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1688304384 is about 41088.9812966932. The cubic root of 1688304384 is about 1190.7399263357.

The spelling of 1688304384 in words is "one billion, six hundred eighty-eight million, three hundred four thousand, three hundred eighty-four".