688653 has 24 divisors (see below), whose sum is σ = 1205568. Its totient is φ = 369792.

The previous prime is 688637. The next prime is 688657. The reversal of 688653 is 356886.

It is not a de Polignac number, because 688653 - 2⁴ = 688637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688657) 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 23 ways as a sum of consecutive naturals, for example, 750 + ... + 1392.

It is an arithmetic number, because the mean of its divisors is an integer number (50232).

2⁶⁸⁸⁶⁵³ is an apocalyptic number.

688653 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

688653 is a deficient number, since it is larger than the sum of its proper divisors (516915).

688653 is a wasteful number, since it uses less digits than its factorization.

688653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 670 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 688653 is about 829.8511914795. The cubic root of 688653 is about 88.3080201192.

The spelling of 688653 in words is "six hundred eighty-eight thousand, six hundred fifty-three".