13633540 has 12 divisors (see below), whose sum is σ = 28630476. Its totient is φ = 5453408.

The previous prime is 13633531. The next prime is 13633547. The reversal of 13633540 is 4533631.

It can be written as a sum of positive squares in 2 ways, for example, as 8213956 + 5419584 = 2866^2 + 2328^2 .

It is not an unprimeable number, because it can be changed into a prime (13633547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 340819 + ... + 340858.

It is an arithmetic number, because the mean of its divisors is an integer number (2385873).

Almost surely, 2^13633540 is an apocalyptic number.

13633540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13633540 is an abundant number, since it is smaller than the sum of its proper divisors (14996936).

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

13633540 is a wasteful number, since it uses less digits than its factorization.

13633540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681686 (or 681684 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 13633540 is about 3692.3623874154. The cubic root of 13633540 is about 238.8926999773.

Subtracting from 13633540 its reverse (4533631), we obtain a palindrome (9099909).

The spelling of 13633540 in words is "thirteen million, six hundred thirty-three thousand, five hundred forty".