688947 has 16 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 385632.

The previous prime is 688939. The next prime is 688951. The reversal of 688947 is 749886.

It is a happy number.

It is not a de Polignac number, because 688947 - 2³ = 688939 is a prime.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 688899 and 688908.

It is not an unprimeable number, because it can be changed into a prime (688907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804 + ... + 1422.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

2⁶⁸⁸⁹⁴⁷ is an apocalyptic number.

688947 is a deficient number, since it is larger than the sum of its proper divisors (382413).

688947 is a wasteful number, since it uses less digits than its factorization.

688947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682.

The product of its digits is 96768, while the sum is 42.

The square root of 688947 is about 830.0283127701. The cubic root of 688947 is about 88.3205851624.

The spelling of 688947 in words is "six hundred eighty-eight thousand, nine hundred forty-seven".