12636288 has 96 divisors (see below), whose sum is σ = 41583360. Its totient is φ = 3608064.

The previous prime is 12636271. The next prime is 12636293. The reversal of 12636288 is 88263621.

12636288 is a `hidden beast` number, since 1 + 26 + 3 + 628 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7281 + ... + 8847.

It is an arithmetic number, because the mean of its divisors is an integer number (433160).

Almost surely, 2^12636288 is an apocalyptic number.

12636288 is a gapful number since it is divisible by the number (18) 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 12636288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20791680).

12636288 is an abundant number, since it is smaller than the sum of its proper divisors (28947072).

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

12636288 is a wasteful number, since it uses less digits than its factorization.

12636288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1579 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12636288 is about 3554.7556878075. The cubic root of 12636288 is about 232.9198518443.

The spelling of 12636288 in words is "twelve million, six hundred thirty-six thousand, two hundred eighty-eight".