688493 has 8 divisors (see below), whose sum is σ = 747936. Its totient is φ = 630000.

The previous prime is 688477. The next prime is 688511. The reversal of 688493 is 394886.

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

It is a cyclic number.

It is not a de Polignac number, because 688493 - 2⁴ = 688477 is a prime.

It is a super-2 number, since 2×688493² = 948045222098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688493.

It is not an unprimeable number, because it can be changed into a prime (688403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2618 + ... + 2868.

It is an arithmetic number, because the mean of its divisors is an integer number (93492).

2⁶⁸⁸⁴⁹³ is an apocalyptic number.

It is an amenable number.

688493 is a deficient number, since it is larger than the sum of its proper divisors (59443).

688493 is a wasteful number, since it uses less digits than its factorization.

688493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475.

The product of its digits is 41472, while the sum is 38.

The square root of 688493 is about 829.7547830534. The cubic root of 688493 is about 88.3011804976.

The spelling of 688493 in words is "six hundred eighty-eight thousand, four hundred ninety-three".