673980 has 48 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 175168.

The previous prime is 673979. The next prime is 673991. The reversal of 673980 is 89376.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2701 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁶⁷³⁹⁸⁰ is an apocalyptic number.

673980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

673980 is an abundant number, since it is smaller than the sum of its proper divisors (1261380).

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

673980 is a wasteful number, since it uses less digits than its factorization.

673980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 673980 is about 820.9628493422. The cubic root of 673980 is about 87.6763247145.

It can be divided in two parts, 673 and 980, that added together give a triangular number (1653 = T₅₇).

The spelling of 673980 in words is "six hundred seventy-three thousand, nine hundred eighty".