673948 has 36 divisors (see below), whose sum is σ = 1392552. Its totient is φ = 282880.

The previous prime is 673943. The next prime is 673951. The reversal of 673948 is 849376.

673948 is nontrivially palindromic in base 15.

It is a super-3 number, since 3×673948³ = 918333487234042176, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673943) by changing a digit.

673948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12690 + ... + 12742.

It is an arithmetic number, because the mean of its divisors is an integer number (38682).

2⁶⁷³⁹⁴⁸ is an apocalyptic number.

673948 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

673948 is an abundant number, since it is smaller than the sum of its proper divisors (718604).

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

673948 is a wasteful number, since it uses less digits than its factorization.

673948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 673948 is about 820.9433598002. The cubic root of 673948 is about 87.6749370933.

The spelling of 673948 in words is "six hundred seventy-three thousand, nine hundred forty-eight".