13369824 has 72 divisors (see below), whose sum is σ = 40956552. Its totient is φ = 4112640.

The previous prime is 13369823. The next prime is 13369849. The reversal of 13369824 is 42896331.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13369823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1959 + ... + 5529.

It is an arithmetic number, because the mean of its divisors is an integer number (568841).

Almost surely, 2^13369824 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 13369824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20478276).

13369824 is an abundant number, since it is smaller than the sum of its proper divisors (27586728).

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

13369824 is a wasteful number, since it uses less digits than its factorization.

13369824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3589 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13369824 is about 3656.4769929537. The cubic root of 13369824 is about 237.3423456017.

The spelling of 13369824 in words is "thirteen million, three hundred sixty-nine thousand, eight hundred twenty-four".