12483576 has 192 divisors, whose sum is σ = 43130880. Its totient is φ = 3179520.

The previous prime is 12483563. The next prime is 12483599. The reversal of 12483576 is 67538421.

12483576 is a `hidden beast` number, since 1 + 2 + 4 + 83 + 576 = 666.

It is a super-3 number, since 3×12483576³ (a number of 22 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12483576.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 265585 + ... + 265631.

It is an arithmetic number, because the mean of its divisors is an integer number (224640).

It is a vampire number, since it can be written as 2856 ⋅ 4371 (with its own digits).

Almost surely, 2^12483576 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 12483576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21565440).

12483576 is an abundant number, since it is smaller than the sum of its proper divisors (30647304).

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

12483576 is a wasteful number, since it uses less digits than its factorization.

12483576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 12483576 is about 3533.2104381143. The cubic root of 12483576 is about 231.9777525238.

The spelling of 12483576 in words is "twelve million, four hundred eighty-three thousand, five hundred seventy-six".