12864480 has 48 divisors (see below), whose sum is σ = 40524624. Its totient is φ = 3430400.

The previous prime is 12864479. The next prime is 12864491. The reversal of 12864480 is 8446821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12921 + ... + 13880.

It is an arithmetic number, because the mean of its divisors is an integer number (844263).

Almost surely, 2^12864480 is an apocalyptic number.

12864480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12864480 is an abundant number, since it is smaller than the sum of its proper divisors (27660144).

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

12864480 is a wasteful number, since it uses less digits than its factorization.

12864480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26819 (or 26811 counting only the distinct ones).

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

The square root of 12864480 is about 3586.7087977699. The cubic root of 12864480 is about 234.3135543812.

The spelling of 12864480 in words is "twelve million, eight hundred sixty-four thousand, four hundred eighty".