12324960 has 144 divisors (see below), whose sum is σ = 43754256. Its totient is φ = 3276288.

The previous prime is 12324953. The next prime is 12324967. The reversal of 12324960 is 6942321.

It is an interprime number because it is at equal distance from previous prime (12324953) and next prime (12324967).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38722 + ... + 39038.

It is an arithmetic number, because the mean of its divisors is an integer number (303849).

Almost surely, 2^12324960 is an apocalyptic number.

12324960 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 12324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877128).

12324960 is an abundant number, since it is smaller than the sum of its proper divisors (31429296).

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

12324960 is an equidigital number, since it uses as much as digits as its factorization.

12324960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12324960 is about 3510.6922394309. The cubic root of 12324960 is about 230.9910605412.

The spelling of 12324960 in words is "twelve million, three hundred twenty-four thousand, nine hundred sixty".