12722864 has 80 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 4730880.

The previous prime is 12722863. The next prime is 12722873. The reversal of 12722864 is 46822721.

It is a self number, because there is not a number n which added to its sum of digits gives 12722864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12722863) 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, 28112 + ... + 28560.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^12722864 is an apocalyptic number.

12722864 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 12722864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

12722864 is an abundant number, since it is smaller than the sum of its proper divisors (19417936).

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

12722864 is a wasteful number, since it uses less digits than its factorization.

12722864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 12722864 is about 3566.9123902894. The cubic root of 12722864 is about 233.4505823428.

The spelling of 12722864 in words is "twelve million, seven hundred twenty-two thousand, eight hundred sixty-four".