12673540 has 36 divisors (see below), whose sum is σ = 29259468. Its totient is φ = 4607680.

The previous prime is 12673537. The next prime is 12673567. The reversal of 12673540 is 4537621.

It can be written as a sum of positive squares in 2 ways, for example, as 7929856 + 4743684 = 2816^2 + 2178^2 .

It is a super-2 number, since 2×12673540² = 321237232263200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12673499 and 12673508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199 + ... + 5038.

It is an arithmetic number, because the mean of its divisors is an integer number (812763).

Almost surely, 2^12673540 is an apocalyptic number.

12673540 is a gapful number since it is divisible by the number (10) 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 12673540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629734).

12673540 is an abundant number, since it is smaller than the sum of its proper divisors (16585928).

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

12673540 is a wasteful number, since it uses less digits than its factorization.

12673540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 12673540 is about 3559.9915730237. The cubic root of 12673540 is about 233.1485112384.

The spelling of 12673540 in words is "twelve million, six hundred seventy-three thousand, five hundred forty".