13349440 has 56 divisors (see below), whose sum is σ = 34244280. Its totient is φ = 4927488.

The previous prime is 13349411. The next prime is 13349443. The reversal of 13349440 is 4494331.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 13017664 = 576^2 + 3608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13349399 and 13349408.

It is not an unprimeable number, because it can be changed into a prime (13349443) 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, 2556 + ... + 5764.

It is an arithmetic number, because the mean of its divisors is an integer number (611505).

Almost surely, 2^13349440 is an apocalyptic number.

13349440 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 13349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122140).

13349440 is an abundant number, since it is smaller than the sum of its proper divisors (20894840).

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

13349440 is a wasteful number, since it uses less digits than its factorization.

13349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 13349440 is about 3653.6885472081. The cubic root of 13349440 is about 237.2216647021.

The spelling of 13349440 in words is "thirteen million, three hundred forty-nine thousand, four hundred forty".