673416 has 48 divisors (see below), whose sum is σ = 1872000. Its totient is φ = 218592.

The previous prime is 673411. The next prime is 673427. The reversal of 673416 is 614376.

It is a self number, because there is not a number n which added to its sum of digits gives 673416.

It is not an unprimeable number, because it can be changed into a prime (673411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3285 + ... + 3483.

It is an arithmetic number, because the mean of its divisors is an integer number (39000).

2⁶⁷³⁴¹⁶ 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 673416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936000).

673416 is an abundant number, since it is smaller than the sum of its proper divisors (1198584).

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

673416 is a wasteful number, since it uses less digits than its factorization.

673416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 673416 is about 820.6192783502. The cubic root of 673416 is about 87.6518614530.

It can be divided in two parts, 673 and 416, that added together give a square (1089 = 33²).

The spelling of 673416 in words is "six hundred seventy-three thousand, four hundred sixteen".