1688830011 has 24 divisors (see below), whose sum is σ = 2671581744. Its totient is φ = 1019535360.

The previous prime is 1688829973. The next prime is 1688830021. The reversal of 1688830011 is 1100388861.

It is not a de Polignac number, because 1688830011 - 2¹⁰ = 1688828987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1688830021) by changing a digit.

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, 7746 + ... + 58631.

It is an arithmetic number, because the mean of its divisors is an integer number (111315906).

Almost surely, 2^1688830011 is an apocalyptic number.

1688830011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1688830011 is a deficient number, since it is larger than the sum of its proper divisors (982751733).

1688830011 is a wasteful number, since it uses less digits than its factorization.

1688830011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66651 (or 66648 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1688830011 is about 41095.3770027725. The cubic root of 1688830011 is about 1190.8634862260.

The spelling of 1688830011 in words is "one billion, six hundred eighty-eight million, eight hundred thirty thousand, eleven".