13410320 has 120 divisors (see below), whose sum is σ = 39693888. Its totient is φ = 4166400.

The previous prime is 13410307. The next prime is 13410323. The reversal of 13410320 is 2301431.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 13410295 and 13410304.

It is not an unprimeable number, because it can be changed into a prime (13410323) 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 23 ways as a sum of consecutive naturals, for example, 42965 + ... + 43275.

Almost surely, 2^13410320 is an apocalyptic number.

13410320 is a gapful number since it is divisible by the number (10) 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 13410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846944).

13410320 is an abundant number, since it is smaller than the sum of its proper divisors (26283568).

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

13410320 is a wasteful number, since it uses less digits than its factorization.

13410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13410320 is about 3662.0103768286. The cubic root of 13410320 is about 237.5817336417.

Adding to 13410320 its reverse (2301431), we get a palindrome (15711751).

Subtracting from 13410320 its reverse (2301431), we obtain a square (11108889 = 3333²).

The spelling of 13410320 in words is "thirteen million, four hundred ten thousand, three hundred twenty".