12483936 has 48 divisors (see below), whose sum is σ = 36414000. Its totient is φ = 4161024.

The previous prime is 12483929. The next prime is 12483943. The reversal of 12483936 is 63938421.

It is an interprime number because it is at equal distance from previous prime (12483929) and next prime (12483943).

It is a tau number, because it is divible by the number of its divisors (48).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 12483936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6361 + ... + 8088.

It is an arithmetic number, because the mean of its divisors is an integer number (758625).

Almost surely, 2^12483936 is an apocalyptic number.

12483936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12483936 is an abundant number, since it is smaller than the sum of its proper divisors (23930064).

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

12483936 is a wasteful number, since it uses less digits than its factorization.

12483936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14468 (or 14454 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12483936 is about 3533.2613829152. The cubic root of 12483936 is about 231.9799824187.

It can be divided in two parts, 1248 and 3936, that added together give a square (5184 = 72²).

The spelling of 12483936 in words is "twelve million, four hundred eighty-three thousand, nine hundred thirty-six".