679968 has 48 divisors (see below), whose sum is σ = 1985760. Its totient is φ = 226368.

The previous prime is 679961. The next prime is 679969. The reversal of 679968 is 869976.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 679968.

It is not an unprimeable number, because it can be changed into a prime (679961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 471 + ... + 1257.

It is an arithmetic number, because the mean of its divisors is an integer number (41370).

2⁶⁷⁹⁹⁶⁸ 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 679968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992880).

679968 is an abundant number, since it is smaller than the sum of its proper divisors (1305792).

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

679968 is a wasteful number, since it uses less digits than its factorization.

679968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 792 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 679968 is about 824.6017220453. The cubic root of 679968 is about 87.9352140240.

The spelling of 679968 in words is "six hundred seventy-nine thousand, nine hundred sixty-eight".