12582648 has 64 divisors (see below), whose sum is σ = 37648800. Its totient is φ = 3870720.

The previous prime is 12582643. The next prime is 12582649. The reversal of 12582648 is 84628521.

12582648 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 2 + 648 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12582643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568 + ... + 5048.

Almost surely, 2^12582648 is an apocalyptic number.

12582648 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 12582648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18824400).

12582648 is an abundant number, since it is smaller than the sum of its proper divisors (25066152).

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

12582648 is a wasteful number, since it uses less digits than its factorization.

12582648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4499 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12582648 is about 3547.2028416768. The cubic root of 12582648 is about 232.5898092170.

It can be divided in two parts, 12 and 582648, that added together give a triangular number (582660 = T₁₀₇₉).

The spelling of 12582648 in words is "twelve million, five hundred eighty-two thousand, six hundred forty-eight".