688395 has 8 divisors (see below), whose sum is σ = 1101456. Its totient is φ = 367136.

The previous prime is 688393. The next prime is 688397. The reversal of 688395 is 593886.

688395 = 101² + 102² + ... + 145².

688395 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (688393) and next prime (688397).

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 688395 - 2¹ = 688393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (688393) 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, 22932 + ... + 22961.

It is an arithmetic number, because the mean of its divisors is an integer number (137682).

2⁶⁸⁸³⁹⁵ is an apocalyptic number.

688395 is a deficient number, since it is larger than the sum of its proper divisors (413061).

688395 is a wasteful number, since it uses less digits than its factorization.

688395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45901.

The product of its digits is 51840, while the sum is 39.

The square root of 688395 is about 829.6957273603. The cubic root of 688395 is about 88.2969907062.

The spelling of 688395 in words is "six hundred eighty-eight thousand, three hundred ninety-five".