13413816 has 128 divisors (see below), whose sum is σ = 42638400. Its totient is φ = 3870720.

The previous prime is 13413811. The next prime is 13413821. The reversal of 13413816 is 61831431.

It is an interprime number because it is at equal distance from previous prime (13413811) and next prime (13413821).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13413816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47596 + ... + 47876.

Almost surely, 2^13413816 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 13413816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21319200).

13413816 is an abundant number, since it is smaller than the sum of its proper divisors (29224584).

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

13413816 is a wasteful number, since it uses less digits than its factorization.

13413816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 13413816 is about 3662.4876791602. The cubic root of 13413816 is about 237.6023772847.

The spelling of 13413816 in words is "thirteen million, four hundred thirteen thousand, eight hundred sixteen".