12963888 has 100 divisors (see below), whose sum is σ = 42911440. Its totient is φ = 3701376.

The previous prime is 12963883. The next prime is 12963901. The reversal of 12963888 is 88836921.

12963888 is a `hidden beast` number, since 1 + 2 + 9 + 638 + 8 + 8 = 666.

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

12963888 is a modest number, since divided by 3888 gives 1296 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12963883) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8358 + ... + 9786.

Almost surely, 2^12963888 is an apocalyptic number.

12963888 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 12963888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455720).

12963888 is an abundant number, since it is smaller than the sum of its proper divisors (29947552).

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

12963888 is a wasteful number, since it uses less digits than its factorization.

12963888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1441 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 12963888 is about 3600.5399595061. The cubic root of 12963888 is about 234.9155453274.

It can be divided in two parts, 1296 and 3888, that added together give a square (5184 = 72²).

The spelling of 12963888 in words is "twelve million, nine hundred sixty-three thousand, eight hundred eighty-eight".