12663600 has 120 divisors (see below), whose sum is σ = 41469072. Its totient is φ = 3302400.

The previous prime is 12663577. The next prime is 12663601. The reversal of 12663600 is 636621.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (12663601) 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, 73114 + ... + 73286.

Almost surely, 2^12663600 is an apocalyptic number.

12663600 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 12663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20734536).

12663600 is an abundant number, since it is smaller than the sum of its proper divisors (28805472).

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

12663600 is a wasteful number, since it uses less digits than its factorization.

12663600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 12663600 is about 3558.5952284574. The cubic root of 12663600 is about 233.0875416292.

The spelling of 12663600 in words is "twelve million, six hundred sixty-three thousand, six hundred".