13535424 has 140 divisors (see below), whose sum is σ = 45978064. Its totient is φ = 3856896.

The previous prime is 13535381. The next prime is 13535447. The reversal of 13535424 is 42453531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36102 + ... + 36474.

Almost surely, 2^13535424 is an apocalyptic number.

13535424 is a gapful number since it is divisible by the number (14) 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 13535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22989032).

13535424 is an abundant number, since it is smaller than the sum of its proper divisors (32442640).

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

13535424 is an equidigital number, since it uses as much as digits as its factorization.

13535424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 385 counting only the distinct ones).

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

The square root of 13535424 is about 3679.0520518199. The cubic root of 13535424 is about 238.3182429141.

Adding to 13535424 its reverse (42453531), we get a palindrome (55988955).

The spelling of 13535424 in words is "thirteen million, five hundred thirty-five thousand, four hundred twenty-four".