12450564 has 96 divisors (see below), whose sum is σ = 37847040. Its totient is φ = 3465504.

The previous prime is 12450563. The next prime is 12450569. The reversal of 12450564 is 46505421.

It is a super-3 number, since 3×12450564³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12450563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32317 + ... + 32699.

It is an arithmetic number, because the mean of its divisors is an integer number (394240).

Almost surely, 2^12450564 is an apocalyptic number.

12450564 is a gapful number since it is divisible by the number (14) 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 12450564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18923520).

12450564 is an abundant number, since it is smaller than the sum of its proper divisors (25396476).

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

12450564 is a wasteful number, since it uses less digits than its factorization.

12450564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 12450564 is about 3528.5356736187. The cubic root of 12450564 is about 231.7730886811.

Adding to 12450564 its reverse (46505421), we get a palindrome (58955985).

The spelling of 12450564 in words is "twelve million, four hundred fifty thousand, five hundred sixty-four".