13354220 has 48 divisors (see below), whose sum is σ = 30947616. Its totient is φ = 4800000.

The previous prime is 13354219. The next prime is 13354261. The reversal of 13354220 is 2245331.

It is a happy number.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13354192 and 13354201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21920 + ... + 22520.

It is an arithmetic number, because the mean of its divisors is an integer number (644742).

Almost surely, 2^13354220 is an apocalyptic number.

13354220 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 13354220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15473808).

13354220 is an abundant number, since it is smaller than the sum of its proper divisors (17593396).

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

13354220 is a wasteful number, since it uses less digits than its factorization.

13354220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 13354220 is about 3654.3426221415. The cubic root of 13354220 is about 237.2499751092.

Adding to 13354220 its reverse (2245331), we get a palindrome (15599551).

Subtracting from 13354220 its reverse (2245331), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1335 and 4220, that added together give a palindrome (5555).

The spelling of 13354220 in words is "thirteen million, three hundred fifty-four thousand, two hundred twenty".