12673600 has 63 divisors (see below), whose sum is σ = 31539307. Its totient is φ = 5012480.

The previous prime is 12673579. The next prime is 12673607. The reversal of 12673600 is 637621.

The square root of 12673600 is 3560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2637376 + 10036224 = 1624^2 + 3168^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12673607) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 142356 + ... + 142444.

Almost surely, 2^12673600 is an apocalyptic number.

12673600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12673600 is the 3560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12673600

12673600 is an abundant number, since it is smaller than the sum of its proper divisors (18865707).

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

12673600 is an frugal number, since it uses more digits than its factorization.

12673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The cubic root of 12673600 is about 233.1488791674.

Multiplying 12673600 by its sum of digits (25), we get a square (316840000 = 17800²).

12673600 divided by its sum of digits (25) gives a square (506944 = 712²).

The spelling of 12673600 in words is "twelve million, six hundred seventy-three thousand, six hundred".