679168 has 36 divisors (see below), whose sum is σ = 1553440. Its totient is φ = 290304.

The previous prime is 679157. The next prime is 679169. The reversal of 679168 is 861976.

It is a super-2 number, since 2×679168² = 922538344448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679169) by changing a digit.

679168 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1603 + ... + 1981.

2⁶⁷⁹¹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776720).

679168 is an abundant number, since it is smaller than the sum of its proper divisors (874272).

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

679168 is an equidigital number, since it uses as much as digits as its factorization.

679168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 679168 is about 824.1164966193. The cubic root of 679168 is about 87.9007144700.

It can be divided in two parts, 6791 and 68, that added together give a cube (6859 = 19³).

The spelling of 679168 in words is "six hundred seventy-nine thousand, one hundred sixty-eight".