12307632 has 80 divisors (see below), whose sum is σ = 33390720. Its totient is φ = 3902976.

The previous prime is 12307627. The next prime is 12307639. The reversal of 12307632 is 23670321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12307639) 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, 138244 + ... + 138332.

It is an arithmetic number, because the mean of its divisors is an integer number (417384).

Almost surely, 2^12307632 is an apocalyptic number.

12307632 is a gapful number since it is divisible by the number (12) 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 12307632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16695360).

12307632 is an abundant number, since it is smaller than the sum of its proper divisors (21083088).

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

12307632 is a wasteful number, since it uses less digits than its factorization.

12307632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 12307632 is about 3508.2234820490. The cubic root of 12307632 is about 230.8827575431.

Adding to 12307632 its reverse (23670321), we get a palindrome (35977953).

The spelling of 12307632 in words is "twelve million, three hundred seven thousand, six hundred thirty-two".