12648880 has 40 divisors (see below), whose sum is σ = 30100752. Its totient is φ = 4940544.

The previous prime is 12648877. The next prime is 12648887. The reversal of 12648880 is 8884621.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12648887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1602 + ... + 5278.

Almost surely, 2^12648880 is an apocalyptic number.

12648880 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 12648880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050376).

12648880 is an abundant number, since it is smaller than the sum of its proper divisors (17451872).

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

12648880 is a wasteful number, since it uses less digits than its factorization.

12648880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 12648880 is about 3556.5263952345. The cubic root of 12648880 is about 232.9971939957.

The spelling of 12648880 in words is "twelve million, six hundred forty-eight thousand, eight hundred eighty".