673538000 has 40 divisors (see below), whose sum is σ = 1628619720. Its totient is φ = 269414400.

The previous prime is 673537981. The next prime is 673538009. The reversal of 673538000 is 835376.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28987456 + 644550544 = 5384^2 + 25388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673538009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166385 + ... + 170384.

It is an arithmetic number, because the mean of its divisors is an integer number (40715493).

Almost surely, 2^673538000 is an apocalyptic number.

It is an amenable number.

673538000 is an abundant number, since it is smaller than the sum of its proper divisors (955081720).

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

673538000 is a wasteful number, since it uses less digits than its factorization.

673538000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336792 (or 336776 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 673538000 is about 25952.6106586601. The cubic root of 673538000 is about 876.5715430883.

The spelling of 673538000 in words is "six hundred seventy-three million, five hundred thirty-eight thousand".