12483680 has 96 divisors (see below), whose sum is σ = 33149088. Its totient is φ = 4403200.

The previous prime is 12483677. The next prime is 12483683. The reversal of 12483680 is 8638421.

It is an interprime number because it is at equal distance from previous prime (12483677) and next prime (12483683).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12483683) 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, 72074 + ... + 72246.

It is an arithmetic number, because the mean of its divisors is an integer number (345303).

Almost surely, 2^12483680 is an apocalyptic number.

12483680 is a gapful number since it is divisible by the number (10) 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 12483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16574544).

12483680 is an abundant number, since it is smaller than the sum of its proper divisors (20665408).

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

12483680 is a wasteful number, since it uses less digits than its factorization.

12483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 12483680 is about 3533.2251555767. The cubic root of 12483680 is about 231.9783967201.

The spelling of 12483680 in words is "twelve million, four hundred eighty-three thousand, six hundred eighty".