12820864 has 64 divisors (see below), whose sum is σ = 29988000. Its totient is φ = 5345280.

The previous prime is 12820853. The next prime is 12820879. The reversal of 12820864 is 46802821.

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, 36562 + ... + 36910.

Almost surely, 2^12820864 is an apocalyptic number.

12820864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14994000).

12820864 is an abundant number, since it is smaller than the sum of its proper divisors (17167136).

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

12820864 is an equidigital number, since it uses as much as digits as its factorization.

12820864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 12820864 is about 3580.6234094079. The cubic root of 12820864 is about 234.0484473676.

The spelling of 12820864 in words is "twelve million, eight hundred twenty thousand, eight hundred sixty-four".