13355424 has 72 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 4387968.

The previous prime is 13355411. The next prime is 13355437. The reversal of 13355424 is 42455331.

It is an interprime number because it is at equal distance from previous prime (13355411) and next prime (13355437).

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22459 + ... + 23045.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 2^13355424 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 13355424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

13355424 is an abundant number, since it is smaller than the sum of its proper divisors (25170336).

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

13355424 is a wasteful number, since it uses less digits than its factorization.

13355424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 13355424 is about 3654.5073539398. The cubic root of 13355424 is about 237.2571049500.

The spelling of 13355424 in words is "thirteen million, three hundred fifty-five thousand, four hundred twenty-four".