688508627 has 2 divisors, whose sum is σ = 688508628. Its totient is φ = 688508626.

The previous prime is 688508609. The next prime is 688508629. The reversal of 688508627 is 726805886.

688508627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 688508627 - 2¹⁴ = 688492243 is a prime.

Together with 688508629, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (688508629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344254313 + 344254314.

It is an arithmetic number, because the mean of its divisors is an integer number (344254314).

Almost surely, 2^688508627 is an apocalyptic number.

688508627 is a deficient number, since it is larger than the sum of its proper divisors (1).

688508627 is an equidigital number, since it uses as much as digits as its factorization.

688508627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1290240, while the sum is 50.

The square root of 688508627 is about 26239.4479172105. The cubic root of 688508627 is about 883.0184856162.

It can be divided in two parts, 68850 and 8627, that added together give a palindrome (77477).

The spelling of 688508627 in words is "six hundred eighty-eight million, five hundred eight thousand, six hundred twenty-seven".