12811824 has 80 divisors (see below), whose sum is σ = 37616640. Its totient is φ = 4173120.

The previous prime is 12811811. The next prime is 12811847. The reversal of 12811824 is 42811821.

12811824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19989 + ... + 20619.

It is an arithmetic number, because the mean of its divisors is an integer number (470208).

Almost surely, 2^12811824 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 12811824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808320).

12811824 is an abundant number, since it is smaller than the sum of its proper divisors (24804816).

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

12811824 is a wasteful number, since it uses less digits than its factorization.

12811824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 12811824 is about 3579.3608367975. The cubic root of 12811824 is about 233.9934251933.

The spelling of 12811824 in words is "twelve million, eight hundred eleven thousand, eight hundred twenty-four".