673536006 has 64 divisors (see below), whose sum is σ = 1758435840. Its totient is φ = 188399520.

The previous prime is 673536001. The next prime is 673536023. The reversal of 673536006 is 600635376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673536001) 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, 35890 + ... + 51333.

It is an arithmetic number, because the mean of its divisors is an integer number (27475560).

Almost surely, 2^673536006 is an apocalyptic number.

673536006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

673536006 is an abundant number, since it is smaller than the sum of its proper divisors (1084899834).

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

673536006 is a wasteful number, since it uses less digits than its factorization.

673536006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87258 (or 87252 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 673536006 is about 25952.5722424580. The cubic root of 673536006 is about 876.5706780615.

The spelling of 673536006 in words is "six hundred seventy-three million, five hundred thirty-six thousand, six".