1688000000 has 140 divisors (see below), whose sum is σ = 4235805156. Its totient is φ = 672000000.

The previous prime is 1687999997. The next prime is 1688000011. The reversal of 1688000000 is 8861.

It is a self number, because there is not a number n which added to its sum of digits gives 1688000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999895 + ... + 8000105.

Almost surely, 2^1688000000 is an apocalyptic number.

1688000000 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 1688000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117902578).

1688000000 is an abundant number, since it is smaller than the sum of its proper divisors (2547805156).

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

1688000000 is an frugal number, since it uses more digits than its factorization.

1688000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1688000000 is about 41085.2771683483. The cubic root of 1688000000 is about 1190.6683626278.

Adding to 1688000000 its reverse (8861), we get a palindrome (1688008861).

The spelling of 1688000000 in words is "one billion, six hundred eighty-eight million", and thus it is an aban number.