13824564 has 48 divisors (see below), whose sum is σ = 36258432. Its totient is φ = 4067712.

The previous prime is 13824529. The next prime is 13824583. The reversal of 13824564 is 46542831.

13824564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13824564² = 382237139580192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 1662 + ... + 5514.

It is an arithmetic number, because the mean of its divisors is an integer number (755384).

Almost surely, 2^13824564 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 13824564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129216).

13824564 is an abundant number, since it is smaller than the sum of its proper divisors (22433868).

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

13824564 is a wasteful number, since it uses less digits than its factorization.

13824564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3894 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 13824564 is about 3718.1398575094. The cubic root of 13824564 is about 240.0032638445.

The spelling of 13824564 in words is "thirteen million, eight hundred twenty-four thousand, five hundred sixty-four".