13122640 has 40 divisors (see below), whose sum is σ = 32308200. Its totient is φ = 4939776.

The previous prime is 13122631. The next prime is 13122647. The reversal of 13122640 is 4622131.

It can be written as a sum of positive squares in 4 ways, for example, as 760384 + 12362256 = 872^2 + 3516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122647) 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, 3465 + ... + 6184.

It is an arithmetic number, because the mean of its divisors is an integer number (807705).

Almost surely, 2^13122640 is an apocalyptic number.

13122640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122640 is an abundant number, since it is smaller than the sum of its proper divisors (19185560).

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

13122640 is a wasteful number, since it uses less digits than its factorization.

13122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9679 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13122640 is about 3622.5184609606. The cubic root of 13122640 is about 235.8705600632.

Adding to 13122640 its reverse (4622131), we get a palindrome (17744771).

The spelling of 13122640 in words is "thirteen million, one hundred twenty-two thousand, six hundred forty".