12285864 has 64 divisors (see below), whose sum is σ = 35625600. Its totient is φ = 3915648.

The previous prime is 12285863. The next prime is 12285869. The reversal of 12285864 is 46858221.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12285863) 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, 3732 + ... + 6204.

It is an arithmetic number, because the mean of its divisors is an integer number (556650).

Almost surely, 2^12285864 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 12285864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17812800).

12285864 is an abundant number, since it is smaller than the sum of its proper divisors (23339736).

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

12285864 is a wasteful number, since it uses less digits than its factorization.

12285864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2501 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12285864 is about 3505.1196841192. The cubic root of 12285864 is about 230.7465596190.

The spelling of 12285864 in words is "twelve million, two hundred eighty-five thousand, eight hundred sixty-four".