13024872 has 96 divisors (see below), whose sum is σ = 41321280. Its totient is φ = 3628800.

The previous prime is 13024871. The next prime is 13024889. The reversal of 13024872 is 27842031.

It is not an unprimeable number, because it can be changed into a prime (13024871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21372 + ... + 21972.

It is an arithmetic number, because the mean of its divisors is an integer number (430430).

It is a vampire number, since it can be written as 1803 ⋅ 7224 (with its own digits).

Almost surely, 2^13024872 is an apocalyptic number.

13024872 is a gapful number since it is divisible by the number (12) 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 13024872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20660640).

13024872 is an abundant number, since it is smaller than the sum of its proper divisors (28296408).

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

13024872 is a wasteful number, since it uses less digits than its factorization.

13024872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 656 counting only the distinct ones).

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

The square root of 13024872 is about 3608.9987531170. The cubic root of 13024872 is about 235.2833281033.

The spelling of 13024872 in words is "thirteen million, twenty-four thousand, eight hundred seventy-two".