688263 has 8 divisors (see below), whose sum is σ = 932976. Its totient is φ = 451200.

The previous prime is 688253. The next prime is 688277. The reversal of 688263 is 362886.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-688263 is a prime.

688263 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688223) 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 7 ways as a sum of consecutive naturals, for example, 1698 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (116622).

2⁶⁸⁸²⁶³ is an apocalyptic number.

688263 is a deficient number, since it is larger than the sum of its proper divisors (244713).

688263 is a wasteful number, since it uses less digits than its factorization.

688263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825.

The product of its digits is 13824, while the sum is 33.

The square root of 688263 is about 829.6161763129. The cubic root of 688263 is about 88.2913466850.

The spelling of 688263 in words is "six hundred eighty-eight thousand, two hundred sixty-three".