13354416 has 80 divisors (see below), whose sum is σ = 40374400. Its totient is φ = 4214592.

The previous prime is 13354409. The next prime is 13354417. The reversal of 13354416 is 61445331.

13354416 = 110³ + 111³ + ... + 118³.

13354416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13354416.

It is not an unprimeable number, because it can be changed into a prime (13354417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7395 + ... + 9021.

It is an arithmetic number, because the mean of its divisors is an integer number (504680).

Almost surely, 2^13354416 is an apocalyptic number.

13354416 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 13354416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20187200).

13354416 is an abundant number, since it is smaller than the sum of its proper divisors (27019984).

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

13354416 is a wasteful number, since it uses less digits than its factorization.

13354416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1651 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 13354416 is about 3654.3694394519. The cubic root of 13354416 is about 237.2511358102.

Adding to 13354416 its reverse (61445331), we get a palindrome (74799747).

The spelling of 13354416 in words is "thirteen million, three hundred fifty-four thousand, four hundred sixteen".