688164 has 12 divisors (see below), whose sum is σ = 1605744. Its totient is φ = 229384.

The previous prime is 688159. The next prime is 688187. The reversal of 688164 is 461886.

688164 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

688164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28662 + ... + 28685.

It is an arithmetic number, because the mean of its divisors is an integer number (133812).

2⁶⁸⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

688164 is an abundant number, since it is smaller than the sum of its proper divisors (917580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

688164 is a wasteful number, since it uses less digits than its factorization.

688164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57354 (or 57352 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 688164 is about 829.5565080210. The cubic root of 688164 is about 88.2871131956.

The spelling of 688164 in words is "six hundred eighty-eight thousand, one hundred sixty-four".