12852864 has 64 divisors (see below), whose sum is σ = 37944000. Its totient is φ = 4283136.

The previous prime is 12852863. The next prime is 12852869. The reversal of 12852864 is 46825821.

12852864 is a `hidden beast` number, since 128 + 528 + 6 + 4 = 666.

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

It is a super-2 number, since 2×12852864² = 330392226004992, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (12852863) 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, 1597 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (592875).

Almost surely, 2^12852864 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 12852864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972000).

12852864 is an abundant number, since it is smaller than the sum of its proper divisors (25091136).

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

12852864 is an equidigital number, since it uses as much as digits as its factorization.

12852864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3724 counting only the distinct ones).

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

The square root of 12852864 is about 3585.0891202312. The cubic root of 12852864 is about 234.2430085612.

The spelling of 12852864 in words is "twelve million, eight hundred fifty-two thousand, eight hundred sixty-four".