12873744 has 135 divisors (see below), whose sum is σ = 40783197. Its totient is φ = 3788928.

The previous prime is 12873733. The next prime is 12873781. The reversal of 12873744 is 44737821.

It is a happy number.

The square root of 12873744 is 3588.

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

12873744 is a `hidden beast` number, since 1 + 287 + 374 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1904400 + 10969344 = 1380^2 + 3312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12873699 and 12873708.

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 26 ways as a sum of consecutive naturals, for example, 559717 + ... + 559739.

Almost surely, 2^12873744 is an apocalyptic number.

12873744 is the 3588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12873744

12873744 is an abundant number, since it is smaller than the sum of its proper divisors (27909453).

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

12873744 is a wasteful number, since it uses less digits than its factorization.

12873744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The cubic root of 12873744 is about 234.3697856973.

Multiplying 12873744 by its sum of digits (36), we get a square (463454784 = 21528²).

12873744 divided by its sum of digits (36) gives a square (357604 = 598²).

The spelling of 12873744 in words is "twelve million, eight hundred seventy-three thousand, seven hundred forty-four".