12648480 has 96 divisors (see below), whose sum is σ = 42928704. Its totient is φ = 3111936.

The previous prime is 12648473. The next prime is 12648511. The reversal of 12648480 is 8484621.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 5227 + ... + 7253.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 2^12648480 is an apocalyptic number.

12648480 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 12648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352).

12648480 is an abundant number, since it is smaller than the sum of its proper divisors (30280224).

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

12648480 is a wasteful number, since it uses less digits than its factorization.

12648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 12648480 is about 3556.4701601447. The cubic root of 12648480 is about 232.9947379189.

The spelling of 12648480 in words is "twelve million, six hundred forty-eight thousand, four hundred eighty".