12636960 has 96 divisors (see below), whose sum is σ = 45505152. Its totient is φ = 2887680.

The previous prime is 12636931. The next prime is 12636971. The reversal of 12636960 is 6963621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480 + ... + 5240.

It is an arithmetic number, because the mean of its divisors is an integer number (474012).

Almost surely, 2^12636960 is an apocalyptic number.

12636960 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 12636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752576).

12636960 is an abundant number, since it is smaller than the sum of its proper divisors (32868192).

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

12636960 is a wasteful number, since it uses less digits than its factorization.

12636960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 12636960 is about 3554.8502078147. The cubic root of 12636960 is about 232.9239806773.

The spelling of 12636960 in words is "twelve million, six hundred thirty-six thousand, nine hundred sixty".