12992544 has 72 divisors (see below), whose sum is σ = 37297260. Its totient is φ = 4290048.

The previous prime is 12992543. The next prime is 12992549. The reversal of 12992544 is 44529921.

12992544 is a `hidden beast` number, since 1 + 29 + 92 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9072144 + 3920400 = 3012^2 + 1980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 12992499 and 12992508.

It is not an unprimeable number, because it can be changed into a prime (12992543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56622 + ... + 56850.

Almost surely, 2^12992544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12992544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648630).

12992544 is an abundant number, since it is smaller than the sum of its proper divisors (24304716).

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

12992544 is a wasteful number, since it uses less digits than its factorization.

12992544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12992544 is about 3604.5171660016. The cubic root of 12992544 is about 235.0885074793.

The spelling of 12992544 in words is "twelve million, nine hundred ninety-two thousand, five hundred forty-four".