13709040 has 60 divisors (see below), whose sum is σ = 42676584. Its totient is φ = 3640448.

The previous prime is 13709029. The next prime is 13709041. The reversal of 13709040 is 4090731.

13709040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13709040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13709041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57241 + ... + 57479.

Almost surely, 2^13709040 is an apocalyptic number.

13709040 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 13709040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21338292).

13709040 is an abundant number, since it is smaller than the sum of its proper divisors (28967544).

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

13709040 is an equidigital number, since it uses as much as digits as its factorization.

13709040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13709040 is about 3702.5720789743. The cubic root of 13709040 is about 239.3328695109.

Adding to 13709040 its reverse (4090731), we get a palindrome (17799771).

The spelling of 13709040 in words is "thirteen million, seven hundred nine thousand, forty".