13432640 has 56 divisors (see below), whose sum is σ = 34457640. Its totient is φ = 4958208.

The previous prime is 13432633. The next prime is 13432687. The reversal of 13432640 is 4623431.

It is a happy number.

13432640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 13424896 = 88^2 + 3664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2546 + ... + 5774.

It is an arithmetic number, because the mean of its divisors is an integer number (615315).

Almost surely, 2^13432640 is an apocalyptic number.

13432640 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 13432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17228820).

13432640 is an abundant number, since it is smaller than the sum of its proper divisors (21025000).

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

13432640 is a wasteful number, since it uses less digits than its factorization.

13432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 13432640 is about 3665.0566162066. The cubic root of 13432640 is about 237.7134701208.

The spelling of 13432640 in words is "thirteen million, four hundred thirty-two thousand, six hundred forty".