12578544 has 80 divisors (see below), whose sum is σ = 39402240. Its totient is φ = 3810240.

The previous prime is 12578507. The next prime is 12578549. The reversal of 12578544 is 44587521.

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 = 12578499 and 12578508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12578549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3429 + ... + 6075.

It is an arithmetic number, because the mean of its divisors is an integer number (492528).

Almost surely, 2^12578544 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 12578544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19701120).

12578544 is an abundant number, since it is smaller than the sum of its proper divisors (26823696).

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

12578544 is a wasteful number, since it uses less digits than its factorization.

12578544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2663 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 12578544 is about 3546.6243105240. The cubic root of 12578544 is about 232.5645190349.

It can be divided in two parts, 1257 and 8544, that added together give a square (9801 = 99²).

The spelling of 12578544 in words is "twelve million, five hundred seventy-eight thousand, five hundred forty-four".