12144864 has 48 divisors (see below), whose sum is σ = 32335632. Its totient is φ = 3990528.

The previous prime is 12144863. The next prime is 12144893. The reversal of 12144864 is 46844121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6142 + ... + 7874.

It is an arithmetic number, because the mean of its divisors is an integer number (673659).

Almost surely, 2^12144864 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 12144864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16167816).

12144864 is an abundant number, since it is smaller than the sum of its proper divisors (20190768).

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

12144864 is a wasteful number, since it uses less digits than its factorization.

12144864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1811 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 12144864 is about 3484.9482062148. The cubic root of 12144864 is about 229.8604320230.

Adding to 12144864 its reverse (46844121), we get a palindrome (58988985).

The spelling of 12144864 in words is "twelve million, one hundred forty-four thousand, eight hundred sixty-four".