13185220 has 24 divisors (see below), whose sum is σ = 27783000. Its totient is φ = 5256192.

The previous prime is 13185191. The next prime is 13185223. The reversal of 13185220 is 2258131.

It can be written as a sum of positive squares in 4 ways, for example, as 2334784 + 10850436 = 1528^2 + 3294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13185191 and 13185200.

It is not an unprimeable number, because it can be changed into a prime (13185223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6036 + ... + 7924.

It is an arithmetic number, because the mean of its divisors is an integer number (1157625).

Almost surely, 2^13185220 is an apocalyptic number.

13185220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13185220 is an abundant number, since it is smaller than the sum of its proper divisors (14597780).

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

13185220 is a wasteful number, since it uses less digits than its factorization.

13185220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 13185220 is about 3631.1458246675. The cubic root of 13185220 is about 236.2449099806.

The spelling of 13185220 in words is "thirteen million, one hundred eighty-five thousand, two hundred twenty".