673968 has 40 divisors (see below), whose sum is σ = 1835200. Its totient is φ = 212544.

The previous prime is 673961. The next prime is 673979. The reversal of 673968 is 869376.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (673961) by changing a digit.

673968 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 7 ways as a sum of consecutive naturals, for example, 543 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (45880).

2⁶⁷³⁹⁶⁸ 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 673968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917600).

673968 is an abundant number, since it is smaller than the sum of its proper divisors (1161232).

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

673968 is a wasteful number, since it uses less digits than its factorization.

673968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 763 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 673968 is about 820.9555408181. The cubic root of 673968 is about 87.6758043617.

The spelling of 673968 in words is "six hundred seventy-three thousand, nine hundred sixty-eight".