12584448 has 60 divisors (see below), whose sum is σ = 36332868. Its totient is φ = 4193280.

The previous prime is 12584443. The next prime is 12584449. The reversal of 12584448 is 84448521.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12584443) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3243 + ... + 5973.

Almost surely, 2^12584448 is an apocalyptic number.

12584448 is a gapful number since it is divisible by the number (18) 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 12584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18166434).

12584448 is an abundant number, since it is smaller than the sum of its proper divisors (23748420).

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

12584448 is an equidigital number, since it uses as much as digits as its factorization.

12584448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2736 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 12584448 is about 3547.4565536452. The cubic root of 12584448 is about 232.6008996672.

The spelling of 12584448 in words is "twelve million, five hundred eighty-four thousand, four hundred forty-eight".