12360960 has 216 divisors, whose sum is σ = 45438120. Its totient is φ = 3096576.

The previous prime is 12360949. The next prime is 12360977. The reversal of 12360960 is 6906321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3504384 + 8856576 = 1872^2 + 2976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334062 + ... + 334098.

Almost surely, 2^12360960 is an apocalyptic number.

12360960 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 12360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719060).

12360960 is an abundant number, since it is smaller than the sum of its proper divisors (33077160).

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

12360960 is a wasteful number, since it uses less digits than its factorization.

12360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 12360960 is about 3515.8156948282. The cubic root of 12360960 is about 231.2157426731.

The spelling of 12360960 in words is "twelve million, three hundred sixty thousand, nine hundred sixty".