12845664 has 144 divisors (see below), whose sum is σ = 40727232. Its totient is φ = 3815424.

The previous prime is 12845647. The next prime is 12845681. The reversal of 12845664 is 46654821.

12845664 is a `hidden beast` number, since 12 + 84 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12845647) and next prime (12845681).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12845664² = 330022167201792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175932 + ... + 176004.

It is an arithmetic number, because the mean of its divisors is an integer number (282828).

Almost surely, 2^12845664 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 12845664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20363616).

12845664 is an abundant number, since it is smaller than the sum of its proper divisors (27881568).

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

12845664 is a wasteful number, since it uses less digits than its factorization.

12845664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 12845664 is about 3584.0848204249. The cubic root of 12845664 is about 234.1992604729.

The spelling of 12845664 in words is "twelve million, eight hundred forty-five thousand, six hundred sixty-four".