688121 has 8 divisors (see below), whose sum is σ = 792000. Its totient is φ = 585648.

The previous prime is 688111. The next prime is 688133. The reversal of 688121 is 121886.

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

It is not a de Polignac number, because 688121 - 2¹⁸ = 425977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (688111) 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, 1130 + ... + 1628.

It is an arithmetic number, because the mean of its divisors is an integer number (99000).

2⁶⁸⁸¹²¹ is an apocalyptic number.

It is an amenable number.

688121 is a deficient number, since it is larger than the sum of its proper divisors (103879).

688121 is a wasteful number, since it uses less digits than its factorization.

688121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703.

The product of its digits is 768, while the sum is 26.

The square root of 688121 is about 829.5305901533. The cubic root of 688121 is about 88.2852742807.

The spelling of 688121 in words is "six hundred eighty-eight thousand, one hundred twenty-one".