13824076 has 36 divisors (see below), whose sum is σ = 28354536. Its totient is φ = 5880000.

The previous prime is 13824059. The next prime is 13824089. The reversal of 13824076 is 67042831.

It is a super-3 number, since 3×13824076³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49056 + ... + 49336.

It is an arithmetic number, because the mean of its divisors is an integer number (787626).

Almost surely, 2^13824076 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 13824076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14177268).

13824076 is an abundant number, since it is smaller than the sum of its proper divisors (14530460).

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

13824076 is a wasteful number, since it uses less digits than its factorization.

13824076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 13824076 is about 3718.0742327178. The cubic root of 13824076 is about 240.0004398140. Note that the first 3 decimals are identical.

The spelling of 13824076 in words is "thirteen million, eight hundred twenty-four thousand, seventy-six".