13365220 has 48 divisors (see below), whose sum is σ = 31046400. Its totient is φ = 4792320.

The previous prime is 13365199. The next prime is 13365223. The reversal of 13365220 is 2256331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13365191 and 13365200.

It is not an unprimeable number, because it can be changed into a prime (13365223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16996 + ... + 17764.

It is an arithmetic number, because the mean of its divisors is an integer number (646800).

Almost surely, 2^13365220 is an apocalyptic number.

13365220 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 13365220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523200).

13365220 is an abundant number, since it is smaller than the sum of its proper divisors (17681180).

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

13365220 is a wasteful number, since it uses less digits than its factorization.

13365220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 13365220 is about 3655.8473709935. The cubic root of 13365220 is about 237.3150989301.

Subtracting from 13365220 its reverse (2256331), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1336 and 5220, that added together give a palindrome (6556).

The spelling of 13365220 in words is "thirteen million, three hundred sixty-five thousand, two hundred twenty".