13205220 has 96 divisors (see below), whose sum is σ = 44126208. Its totient is φ = 2884992.

The previous prime is 13205207. The next prime is 13205249. The reversal of 13205220 is 2250231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13205220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8977 + ... + 10343.

It is an arithmetic number, because the mean of its divisors is an integer number (459648).

Almost surely, 2^13205220 is an apocalyptic number.

13205220 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 13205220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063104).

13205220 is an abundant number, since it is smaller than the sum of its proper divisors (30920988).

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

13205220 is a wasteful number, since it uses less digits than its factorization.

13205220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 13205220 is about 3633.8987327662. The cubic root of 13205220 is about 236.3642989940.

Adding to 13205220 its reverse (2250231), we get a palindrome (15455451).

The spelling of 13205220 in words is "thirteen million, two hundred five thousand, two hundred twenty".