13422416 has 80 divisors (see below), whose sum is σ = 31664640. Its totient is φ = 5391360.

The previous prime is 13422397. The next prime is 13422419. The reversal of 13422416 is 61422431.

13422416 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13422416² = 360322502554112, which contains 22 as substring.

13422416 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13422391 and 13422400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13422419) 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, 169865 + ... + 169943.

It is an arithmetic number, because the mean of its divisors is an integer number (395808).

Almost surely, 2^13422416 is an apocalyptic number.

13422416 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 13422416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).

13422416 is an abundant number, since it is smaller than the sum of its proper divisors (18242224).

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

13422416 is a wasteful number, since it uses less digits than its factorization.

13422416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 13422416 is about 3663.6615564214. The cubic root of 13422416 is about 237.6531444417.

Adding to 13422416 its reverse (61422431), we get a palindrome (74844847).

The spelling of 13422416 in words is "thirteen million, four hundred twenty-two thousand, four hundred sixteen".