12636000 has 288 divisors, whose sum is σ = 50083488. Its totient is φ = 3110400.

The previous prime is 12635989. The next prime is 12636017. The reversal of 12636000 is 63621.

It is a happy number.

12636000 is a `hidden beast` number, since 1 + 2 + 63 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971994 + ... + 972006.

It is an arithmetic number, because the mean of its divisors is an integer number (173901).

Almost surely, 2^12636000 is an apocalyptic number.

12636000 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 12636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25041744).

12636000 is an abundant number, since it is smaller than the sum of its proper divisors (37447488).

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

12636000 is an equidigital number, since it uses as much as digits as its factorization.

12636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 12636000 is about 3554.7151784637. The cubic root of 12636000 is about 232.9180822997.

Adding to 12636000 its reverse (63621), we get a palindrome (12699621).

The spelling of 12636000 in words is "twelve million, six hundred thirty-six thousand".