673824 has 24 divisors (see below), whose sum is σ = 1769040. Its totient is φ = 224576.

The previous prime is 673817. The next prime is 673837. The reversal of 673824 is 428376.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 673791 and 673800.

It is an unprimeable number.

673824 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, 3414 + ... + 3605.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2⁶⁷³⁸²⁴ is an apocalyptic number.

It is an amenable number.

673824 is an abundant number, since it is smaller than the sum of its proper divisors (1095216).

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

673824 is a wasteful number, since it uses less digits than its factorization.

673824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7024 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 673824 is about 820.8678334543. The cubic root of 673824 is about 87.6695596463.

The spelling of 673824 in words is "six hundred seventy-three thousand, eight hundred twenty-four".