12564480 has 96 divisors (see below), whose sum is σ = 40294800. Its totient is φ = 3342336.

The previous prime is 12564467. The next prime is 12564481. The reversal of 12564480 is 8446521.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12564481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30516 + ... + 30924.

Almost surely, 2^12564480 is an apocalyptic number.

12564480 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 12564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20147400).

12564480 is an abundant number, since it is smaller than the sum of its proper divisors (27730320).

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

12564480 is an equidigital number, since it uses as much as digits as its factorization.

12564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 12564480 is about 3544.6410255483. The cubic root of 12564480 is about 232.4778103462.

The spelling of 12564480 in words is "twelve million, five hundred sixty-four thousand, four hundred eighty".