673712000 has 256 divisors, whose sum is σ = 1871251200. Its totient is φ = 239616000.

The previous prime is 673711981. The next prime is 673712009. The reversal of 673712000 is 217376.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673712009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8527961 + ... + 8528039.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

Almost surely, 2^673712000 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 673712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935625600).

673712000 is an abundant number, since it is smaller than the sum of its proper divisors (1197539200).

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

673712000 is a wasteful number, since it uses less digits than its factorization.

673712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 673712000 is about 25955.9627060913. The cubic root of 673712000 is about 876.6470203028.

Adding to 673712000 its reverse (217376), we get a palindrome (673929376).

The spelling of 673712000 in words is "six hundred seventy-three million, seven hundred twelve thousand".