12161664 has 192 divisors, whose sum is σ = 40098240. Its totient is φ = 3649536.

The previous prime is 12161663. The next prime is 12161683. The reversal of 12161664 is 46616121.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (12161663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528757 + ... + 528779.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^12161664 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 12161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

12161664 is an abundant number, since it is smaller than the sum of its proper divisors (27936576).

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

12161664 is an equidigital number, since it uses as much as digits as its factorization.

12161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 45 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 12161664 is about 3487.3577390340. The cubic root of 12161664 is about 229.9663718951.

Adding to 12161664 its reverse (46616121), we get a palindrome (58777785).

The spelling of 12161664 in words is "twelve million, one hundred sixty-one thousand, six hundred sixty-four".