673920 has 160 divisors (see below), whose sum is σ = 2591820. Its totient is φ = 165888.

The previous prime is 673891. The next prime is 673921. The reversal of 673920 is 29376.

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 46656 = 792^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (673921) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 51834 + ... + 51846.

673920 is a Friedman number, since it can be written as 936*720, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 720 ⋅ 936 (with its own digits).

2⁶⁷³⁹²⁰ is an apocalyptic number.

673920 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 673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295910).

673920 is an abundant number, since it is smaller than the sum of its proper divisors (1917900).

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

673920 is a wasteful number, since it uses less digits than its factorization.

673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 673920 is about 820.9263060714. The cubic root of 673920 is about 87.6737228888.

The spelling of 673920 in words is "six hundred seventy-three thousand, nine hundred twenty".