12584416 has 48 divisors (see below), whose sum is σ = 26989200. Its totient is φ = 5775744.

The previous prime is 12584401. The next prime is 12584443. The reversal of 12584416 is 61448521.

It is a super-2 number, since 2×12584416² = 316735052122112, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 70215 + ... + 70393.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 2^12584416 is an apocalyptic number.

12584416 is a gapful number since it is divisible by the number (16) 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 12584416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494600).

12584416 is an abundant number, since it is smaller than the sum of its proper divisors (14404784).

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

12584416 is an equidigital number, since it uses as much as digits as its factorization.

12584416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 194 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 12584416 is about 3547.4520433686. The cubic root of 12584416 is about 232.6007025129.

It can be divided in two parts, 12584 and 416, that multiplied together give a square (5234944 = 2288²).

The spelling of 12584416 in words is "twelve million, five hundred eighty-four thousand, four hundred sixteen".