1688384768 has 54 divisors (see below), whose sum is σ = 3920435946. Its totient is φ = 723588096.

The previous prime is 1688384741. The next prime is 1688384771. The reversal of 1688384768 is 8674838861.

It can be written as a sum of positive squares in only one way, i.e., 1047687424 + 640697344 = 32368^2 + 25312^2 .

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54755 + ... + 79842.

Almost surely, 2^1688384768 is an apocalyptic number.

It is an amenable number.

1688384768 is an abundant number, since it is smaller than the sum of its proper divisors (2232051178).

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

1688384768 is an equidigital number, since it uses as much as digits as its factorization.

1688384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134627 (or 134606 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 59.

The square root of 1688384768 is about 41089.9594548352. The cubic root of 1688384768 is about 1190.7588239785.

The spelling of 1688384768 in words is "one billion, six hundred eighty-eight million, three hundred eighty-four thousand, seven hundred sixty-eight".