688793 has 6 divisors (see below), whose sum is σ = 801306. Its totient is φ = 590352.

The previous prime is 688783. The next prime is 688799. The reversal of 688793 is 397886.

It can be written as a sum of positive squares in only one way, i.e., 405769 + 283024 = 637^2 + 532^2 .

It is not a de Polignac number, because 688793 - 2⁴ = 688777 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 688793.

It is not an unprimeable number, because it can be changed into a prime (688799) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6980 + ... + 7077.

It is an arithmetic number, because the mean of its divisors is an integer number (133551).

2⁶⁸⁸⁷⁹³ is an apocalyptic number.

It is an amenable number.

688793 is a deficient number, since it is larger than the sum of its proper divisors (112513).

688793 is a wasteful number, since it uses less digits than its factorization.

688793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14071 (or 14064 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 688793 is about 829.9355396656. The cubic root of 688793 is about 88.3140039190.

The spelling of 688793 in words is "six hundred eighty-eight thousand, seven hundred ninety-three".