13220424 has 96 divisors (see below), whose sum is σ = 43355520. Its totient is φ = 3552768.

The previous prime is 13220419. The next prime is 13220437. The reversal of 13220424 is 42402231.

It is a super-2 number, since 2×13220424² = 349559221479552, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13220397 and 13220406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7797 + ... + 9339.

It is an arithmetic number, because the mean of its divisors is an integer number (451620).

Almost surely, 2^13220424 is an apocalyptic number.

13220424 is a gapful number since it is divisible by the number (14) 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 13220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21677760).

13220424 is an abundant number, since it is smaller than the sum of its proper divisors (30135096).

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

13220424 is a wasteful number, since it uses less digits than its factorization.

13220424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13220424 is about 3635.9900989964. The cubic root of 13220424 is about 236.4549778940.

Adding to 13220424 its reverse (42402231), we get a palindrome (55622655).

The spelling of 13220424 in words is "thirteen million, two hundred twenty thousand, four hundred twenty-four".