1689172992 has 264 divisors, whose sum is σ = 5489955744. Its totient is φ = 496336896.

The previous prime is 1689172987. The next prime is 1689173011. The reversal of 1689172992 is 2992719861.

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 23 ways as a sum of consecutive naturals, for example, 2755278 + ... + 2755890.

Almost surely, 2^1689172992 is an apocalyptic number.

1689172992 is a gapful number since it is divisible by the number (12) 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 1689172992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744977872).

1689172992 is an abundant number, since it is smaller than the sum of its proper divisors (3800782752).

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

1689172992 is a wasteful number, since it uses less digits than its factorization.

1689172992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 654 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The square root of 1689172992 is about 41099.5497785560. The cubic root of 1689172992 is about 1190.9440974381.

The spelling of 1689172992 in words is "one billion, six hundred eighty-nine million, one hundred seventy-two thousand, nine hundred ninety-two".