13415364 has 72 divisors (see below), whose sum is σ = 35544600. Its totient is φ = 4262400.

The previous prime is 13415359. The next prime is 13415399. The reversal of 13415364 is 46351431.

13415364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2125764 + 11289600 = 1458^2 + 3360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89962 + ... + 90110.

It is an arithmetic number, because the mean of its divisors is an integer number (493675).

Almost surely, 2^13415364 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 13415364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772300).

13415364 is an abundant number, since it is smaller than the sum of its proper divisors (22129236).

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

13415364 is a wasteful number, since it uses less digits than its factorization.

13415364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

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

The square root of 13415364 is about 3662.6990048324. The cubic root of 13415364 is about 237.6115169740.

Adding to 13415364 its reverse (46351431), we get a palindrome (59766795).

It can be divided in two parts, 1341 and 5364, that multiplied together give a square (7193124 = 2682²).

The spelling of 13415364 in words is "thirteen million, four hundred fifteen thousand, three hundred sixty-four".