13220240 has 80 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 4723200.

The previous prime is 13220231. The next prime is 13220243. The reversal of 13220240 is 4202231.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13220243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 72950 + ... + 73130.

Almost surely, 2^13220240 is an apocalyptic number.

13220240 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 13220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

13220240 is an abundant number, since it is smaller than the sum of its proper divisors (20902576).

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

13220240 is a wasteful number, since it uses less digits than its factorization.

13220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13220240 is about 3635.9647963092. The cubic root of 13220240 is about 236.4538809066.

Adding to 13220240 its reverse (4202231), we get a palindrome (17422471).

Subtracting from 13220240 its reverse (4202231), we obtain a square (9018009 = 3003²).

The spelling of 13220240 in words is "thirteen million, two hundred twenty thousand, two hundred forty".