673624 has 32 divisors (see below), whose sum is σ = 1509120. Its totient is φ = 275616.

The previous prime is 673619. The next prime is 673637. The reversal of 673624 is 426376.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 673592 and 673601.

It is a congruent number.

It is an unprimeable number.

673624 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 7 ways as a sum of consecutive naturals, for example, 1027 + ... + 1549.

It is an arithmetic number, because the mean of its divisors is an integer number (47160).

2⁶⁷³⁶²⁴ 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 673624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754560).

673624 is an abundant number, since it is smaller than the sum of its proper divisors (835496).

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

673624 is a wasteful number, since it uses less digits than its factorization.

673624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 555 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 673624 is about 820.7460021225. The cubic root of 673624 is about 87.6608849543.

The spelling of 673624 in words is "six hundred seventy-three thousand, six hundred twenty-four".