13353408 has 84 divisors (see below), whose sum is σ = 38831520. Its totient is φ = 4386816.

The previous prime is 13353397. The next prime is 13353419. The reversal of 13353408 is 80435331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13353397) and next prime (13353419).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55753 + ... + 55991.

It is an arithmetic number, because the mean of its divisors is an integer number (462280).

Almost surely, 2^13353408 is an apocalyptic number.

13353408 is a gapful number since it is divisible by the number (18) 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 13353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19415760).

13353408 is an abundant number, since it is smaller than the sum of its proper divisors (25478112).

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

13353408 is a wasteful number, since it uses less digits than its factorization.

13353408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

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

The square root of 13353408 is about 3654.2315197590. The cubic root of 13353408 is about 237.2451663700.

Adding to 13353408 its reverse (80435331), we get a palindrome (93788739).

The spelling of 13353408 in words is "thirteen million, three hundred fifty-three thousand, four hundred eight".