12888624 has 80 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 3632640.

The previous prime is 12888619. The next prime is 12888641. The reversal of 12888624 is 42688821.

It is a super-3 number, since 3×12888624³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 29689 + ... + 30119.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 2^12888624 is an apocalyptic number.

12888624 is a gapful number since it is divisible by the number (14) 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 12888624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

12888624 is an abundant number, since it is smaller than the sum of its proper divisors (25680336).

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

12888624 is a wasteful number, since it uses less digits than its factorization.

12888624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 532 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 12888624 is about 3590.0729797596. The cubic root of 12888624 is about 234.4600489918.

The spelling of 12888624 in words is "twelve million, eight hundred eighty-eight thousand, six hundred twenty-four".