12483744 has 96 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 3290112.

The previous prime is 12483743. The next prime is 12483787. The reversal of 12483744 is 44738421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

12483744 is a modest number, since divided by 3744 gives 1248 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12483743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8022 + ... + 9450.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 2^12483744 is an apocalyptic number.

12483744 is a gapful number since it is divisible by the number (14) 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 12483744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

12483744 is an abundant number, since it is smaller than the sum of its proper divisors (27876576).

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

12483744 is a wasteful number, since it uses less digits than its factorization.

12483744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1454 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 12483744 is about 3533.2342124462. The cubic root of 12483744 is about 231.9787931468.

The spelling of 12483744 in words is "twelve million, four hundred eighty-three thousand, seven hundred forty-four".