1688448860 has 144 divisors (see below), whose sum is σ = 4338847296. Its totient is φ = 549255168.

The previous prime is 1688448841. The next prime is 1688448863. The reversal of 1688448860 is 688448861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688448863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3899204 + ... + 3899636.

It is an arithmetic number, because the mean of its divisors is an integer number (30130884).

Almost surely, 2^1688448860 is an apocalyptic number.

1688448860 is a gapful number since it is divisible by the number (10) 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 1688448860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169423648).

1688448860 is an abundant number, since it is smaller than the sum of its proper divisors (2650398436).

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

1688448860 is a wasteful number, since it uses less digits than its factorization.

1688448860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 53.

The square root of 1688448860 is about 41090.7393459889. The cubic root of 1688448860 is about 1190.7738910710.

Subtracting from 1688448860 its reverse (688448861), we obtain a palindrome (999999999).

The spelling of 1688448860 in words is "one billion, six hundred eighty-eight million, four hundred forty-eight thousand, eight hundred sixty".