13635240 has 96 divisors (see below), whose sum is σ = 42547680. Its totient is φ = 3495168.

The previous prime is 13635233. The next prime is 13635253. The reversal of 13635240 is 4253631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13635240.

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, 164239 + ... + 164321.

It is an arithmetic number, because the mean of its divisors is an integer number (443205).

Almost surely, 2^13635240 is an apocalyptic number.

13635240 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 13635240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273840).

13635240 is an abundant number, since it is smaller than the sum of its proper divisors (28912440).

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

13635240 is a wasteful number, since it uses less digits than its factorization.

13635240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 13635240 is about 3692.5925851629. The cubic root of 13635240 is about 238.9026289395.

Adding to 13635240 its reverse (4253631), we get a palindrome (17888871).

The spelling of 13635240 in words is "thirteen million, six hundred thirty-five thousand, two hundred forty".