13027824 has 80 divisors (see below), whose sum is σ = 38167200. Its totient is φ = 4253184.

The previous prime is 13027813. The next prime is 13027841. The reversal of 13027824 is 42872031.

13027824 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 nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

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, 22612 + ... + 23180.

It is an arithmetic number, because the mean of its divisors is an integer number (477090).

Almost surely, 2^13027824 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 13027824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19083600).

13027824 is an abundant number, since it is smaller than the sum of its proper divisors (25139376).

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

13027824 is a wasteful number, since it uses less digits than its factorization.

13027824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13027824 is about 3609.4077076440. The cubic root of 13027824 is about 235.3011018907.

Adding to 13027824 its reverse (42872031), we get a palindrome (55899855).

The spelling of 13027824 in words is "thirteen million, twenty-seven thousand, eight hundred twenty-four".