13330640 has 40 divisors (see below), whose sum is σ = 31156488. Its totient is φ = 5304320.

The previous prime is 13330631. The next prime is 13330643. The reversal of 13330640 is 4603331.

It can be written as a sum of positive squares in 4 ways, for example, as 2729104 + 10601536 = 1652^2 + 3256^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330643) 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 7 ways as a sum of consecutive naturals, for example, 22184 + ... + 22776.

Almost surely, 2^13330640 is an apocalyptic number.

13330640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330640 is an abundant number, since it is smaller than the sum of its proper divisors (17825848).

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

13330640 is a wasteful number, since it uses less digits than its factorization.

13330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 13330640 is about 3651.1148982194. The cubic root of 13330640 is about 237.1102527253.

Adding to 13330640 its reverse (4603331), we get a palindrome (17933971).

The spelling of 13330640 in words is "thirteen million, three hundred thirty thousand, six hundred forty".