1688627331 has 20 divisors (see below), whose sum is σ = 2560175112. Its totient is φ = 1108945728.

The previous prime is 1688627321. The next prime is 1688627389. The reversal of 1688627331 is 1337268861.

1688627331 is a `hidden beast` number, since 16 + 8 + 8 + 627 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 1688627331 - 2¹⁰ = 1688626307 is a prime.

It is a super-2 number, since 2×1688627331² = 5702924526000367122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1688627321) 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 19 ways as a sum of consecutive naturals, for example, 150150 + ... + 161003.

Almost surely, 2^1688627331 is an apocalyptic number.

1688627331 is a deficient number, since it is larger than the sum of its proper divisors (871547781).

1688627331 is an equidigital number, since it uses as much as digits as its factorization.

1688627331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311232 (or 311223 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1688627331 is about 41092.9109579742. The cubic root of 1688627331 is about 1190.8158449860.

The spelling of 1688627331 in words is "one billion, six hundred eighty-eight million, six hundred twenty-seven thousand, three hundred thirty-one".