688801 has 4 divisors (see below), whose sum is σ = 697600. Its totient is φ = 680004.

The previous prime is 688799. The next prime is 688813. The reversal of 688801 is 108886.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 108886 = 2 ⋅54443.

It is a cyclic number.

It is not a de Polignac number, because 688801 - 2¹ = 688799 is a prime.

It is a Duffinian number.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (688861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4281 + ... + 4438.

It is an arithmetic number, because the mean of its divisors is an integer number (174400).

2⁶⁸⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

688801 is a deficient number, since it is larger than the sum of its proper divisors (8799).

688801 is an equidigital number, since it uses as much as digits as its factorization.

688801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8798.

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 688801 is about 829.9403593030. The cubic root of 688801 is about 88.3143458259.

The spelling of 688801 in words is "six hundred eighty-eight thousand, eight hundred one".