1688033664 has 96 divisors (see below), whose sum is σ = 5068767600. Its totient is φ = 538205184.

The previous prime is 1688033657. The next prime is 1688033761. The reversal of 1688033664 is 4663308861.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 5359 + ... + 58350.

Almost surely, 2^1688033664 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 1688033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534383800).

1688033664 is an abundant number, since it is smaller than the sum of its proper divisors (3380733936).

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

1688033664 is a wasteful number, since it uses less digits than its factorization.

1688033664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63752 (or 63737 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1688033664 is about 41085.6868507757. The cubic root of 1688033664 is about 1190.6762777924.

The spelling of 1688033664 in words is "one billion, six hundred eighty-eight million, thirty-three thousand, six hundred sixty-four".