13109824 has 56 divisors (see below), whose sum is σ = 32032448. Its totient is φ = 5184000.

The previous prime is 13109809. The next prime is 13109843. The reversal of 13109824 is 42890131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 13109792 and 13109801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4699 + ... + 6949.

It is an arithmetic number, because the mean of its divisors is an integer number (572008).

Almost surely, 2^13109824 is an apocalyptic number.

13109824 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 13109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016224).

13109824 is an abundant number, since it is smaller than the sum of its proper divisors (18922624).

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

13109824 is a wasteful number, since it uses less digits than its factorization.

13109824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 13109824 is about 3620.7490937650. The cubic root of 13109824 is about 235.7937487477.

Adding to 13109824 its reverse (42890131), we get a palindrome (55999955).

The spelling of 13109824 in words is "thirteen million, one hundred nine thousand, eight hundred twenty-four".