12263616 has 112 divisors (see below), whose sum is σ = 37063680. Its totient is φ = 3974400.

The previous prime is 12263611. The next prime is 12263651. The reversal of 12263616 is 61636221.

12263616 is a `hidden beast` number, since 1 + 22 + 636 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12263616.

It is not an unprimeable number, because it can be changed into a prime (12263611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81141 + ... + 81291.

Almost surely, 2^12263616 is an apocalyptic number.

12263616 is a gapful number since it is divisible by the number (16) 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 12263616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531840).

12263616 is an abundant number, since it is smaller than the sum of its proper divisors (24800064).

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

12263616 is a wasteful number, since it uses less digits than its factorization.

12263616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 12263616 is about 3501.9446026458. The cubic root of 12263616 is about 230.6071920945.

Adding to 12263616 its reverse (61636221), we get a palindrome (73899837).

The spelling of 12263616 in words is "twelve million, two hundred sixty-three thousand, six hundred sixteen".