1688138848 has 48 divisors (see below), whose sum is σ = 3629528784. Its totient is φ = 766517760.

The previous prime is 1688138779. The next prime is 1688138863. The reversal of 1688138848 is 8488318861.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433486 + ... + 437362.

It is an arithmetic number, because the mean of its divisors is an integer number (75615183).

Almost surely, 2^1688138848 is an apocalyptic number.

It is an amenable number.

1688138848 is an abundant number, since it is smaller than the sum of its proper divisors (1941389936).

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

1688138848 is a wasteful number, since it uses less digits than its factorization.

1688138848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5127 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 55.

The square root of 1688138848 is about 41086.9668873233. The cubic root of 1688138848 is about 1190.7010082416.

The spelling of 1688138848 in words is "one billion, six hundred eighty-eight million, one hundred thirty-eight thousand, eight hundred forty-eight".