688007 has 4 divisors (see below), whose sum is σ = 728496. Its totient is φ = 647520.

The previous prime is 688003. The next prime is 688013. The reversal of 688007 is 700886.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 700886 = 2 ⋅350443.

It is a cyclic number.

It is not a de Polignac number, because 688007 - 2² = 688003 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688003) 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 3 ways as a sum of consecutive naturals, for example, 20219 + ... + 20252.

It is an arithmetic number, because the mean of its divisors is an integer number (182124).

2⁶⁸⁸⁰⁰⁷ is an apocalyptic number.

688007 is a deficient number, since it is larger than the sum of its proper divisors (40489).

688007 is a wasteful number, since it uses less digits than its factorization.

688007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40488.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 688007 is about 829.4618737471. The cubic root of 688007 is about 88.2803986474.

The spelling of 688007 in words is "six hundred eighty-eight thousand, seven".