13042816 has 64 divisors (see below), whose sum is σ = 28396800. Its totient is φ = 5944320.

The previous prime is 13042807. The next prime is 13042819. The reversal of 13042816 is 61824031.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13042819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75306 + ... + 75478.

It is an arithmetic number, because the mean of its divisors is an integer number (443700).

Almost surely, 2^13042816 is an apocalyptic number.

13042816 is a gapful number since it is divisible by the number (16) 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 13042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14198400).

13042816 is an abundant number, since it is smaller than the sum of its proper divisors (15353984).

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

13042816 is a wasteful number, since it uses less digits than its factorization.

13042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 13042816 is about 3611.4839055435. The cubic root of 13042816 is about 235.3913262654.

Adding to 13042816 its reverse (61824031), we get a palindrome (74866847).

The spelling of 13042816 in words is "thirteen million, forty-two thousand, eight hundred sixteen".