13205340 has 36 divisors (see below), whose sum is σ = 40056744. Its totient is φ = 3521376.

The previous prime is 13205329. The next prime is 13205347. The reversal of 13205340 is 4350231.

13205340 is a `hidden beast` number, since 1 + 320 + 5 + 340 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36502 + ... + 36861.

Almost surely, 2^13205340 is an apocalyptic number.

13205340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13205340 is an abundant number, since it is smaller than the sum of its proper divisors (26851404).

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

13205340 is a wasteful number, since it uses less digits than its factorization.

13205340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73378 (or 73373 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13205340 is about 3633.9152439208. The cubic root of 13205340 is about 236.3650149642.

Adding to 13205340 its reverse (4350231), we get a palindrome (17555571).

The spelling of 13205340 in words is "thirteen million, two hundred five thousand, three hundred forty".