12052864 has 64 divisors (see below), whose sum is σ = 26438400. Its totient is φ = 5447680.

The previous prime is 12052853. The next prime is 12052877. The reversal of 12052864 is 46825021.

12052864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63009 + ... + 63199.

It is an arithmetic number, because the mean of its divisors is an integer number (413100).

Almost surely, 2^12052864 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 12052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219200).

12052864 is an abundant number, since it is smaller than the sum of its proper divisors (14385536).

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

12052864 is a wasteful number, since it uses less digits than its factorization.

12052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 12052864 is about 3471.7234912936. The cubic root of 12052864 is about 229.2785458932.

Adding to 12052864 its reverse (46825021), we get a palindrome (58877885).

The spelling of 12052864 in words is "twelve million, fifty-two thousand, eight hundred sixty-four".