12480864 has 96 divisors (see below), whose sum is σ = 36578304. Its totient is φ = 3694080.

The previous prime is 12480863. The next prime is 12480887. The reversal of 12480864 is 46808421.

12480864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12480863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55857 + ... + 56079.

It is an arithmetic number, because the mean of its divisors is an integer number (381024).

Almost surely, 2^12480864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12480864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

12480864 is an abundant number, since it is smaller than the sum of its proper divisors (24097440).

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

12480864 is a wasteful number, since it uses less digits than its factorization.

12480864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

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

The square root of 12480864 is about 3532.8266303344. The cubic root of 12480864 is about 231.9609526040.

The spelling of 12480864 in words is "twelve million, four hundred eighty thousand, eight hundred sixty-four".