12561164 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 4604160.

The previous prime is 12561163. The next prime is 12561187. The reversal of 12561164 is 46116521.

It is not an unprimeable number, because it can be changed into a prime (12561163) 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, 4037 + ... + 6435.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^12561164 is an apocalyptic number.

12561164 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 12561164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

12561164 is an abundant number, since it is smaller than the sum of its proper divisors (16469236).

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

12561164 is a wasteful number, since it uses less digits than its factorization.

12561164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2436 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 12561164 is about 3544.1732463298. The cubic root of 12561164 is about 232.4573568071.

Adding to 12561164 its reverse (46116521), we get a palindrome (58677685).

The spelling of 12561164 in words is "twelve million, five hundred sixty-one thousand, one hundred sixty-four".