673146000 has 120 divisors (see below), whose sum is σ = 2351137464. Its totient is φ = 179500800.

The previous prime is 673145983. The next prime is 673146007. The reversal of 673146000 is 641376.

It can be written as a sum of positive squares in 4 ways, for example, as 69755904 + 603390096 = 8352^2 + 24564^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (673146007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699 + ... + 36698.

Almost surely, 2^673146000 is an apocalyptic number.

673146000 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 673146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175568732).

673146000 is an abundant number, since it is smaller than the sum of its proper divisors (1677991464).

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

673146000 is a wasteful number, since it uses less digits than its factorization.

673146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37426 (or 37407 counting only the distinct ones).

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

The square root of 673146000 is about 25945.0573327561. The cubic root of 673146000 is about 876.4014548240.

Adding to 673146000 its reverse (641376), we get a palindrome (673787376).

The spelling of 673146000 in words is "six hundred seventy-three million, one hundred forty-six thousand".