688753 has 4 divisors (see below), whose sum is σ = 741748. Its totient is φ = 635760.

The previous prime is 688747. The next prime is 688757. The reversal of 688753 is 357886.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 237169 = 672^2 + 487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-688753 is a prime.

It is a Duffinian number.

688753 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (688757) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26478 + ... + 26503.

It is an arithmetic number, because the mean of its divisors is an integer number (185437).

2⁶⁸⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

688753 is a deficient number, since it is larger than the sum of its proper divisors (52995).

688753 is a wasteful number, since it uses less digits than its factorization.

688753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52994.

The product of its digits is 40320, while the sum is 37.

The square root of 688753 is about 829.9114410586. The cubic root of 688753 is about 88.3122943446.

It can be divided in two parts, 688 and 753, that added together give a palindrome (1441).

The spelling of 688753 in words is "six hundred eighty-eight thousand, seven hundred fifty-three".