13709024 has 48 divisors (see below), whose sum is σ = 31500000. Its totient is φ = 5870592.

The previous prime is 13709011. The next prime is 13709029. The reversal of 13709024 is 42090731.

It is a junction number, because it is equal to n+sod(n) for n = 13708984 and 13709002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13709029) 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, 10352 + ... + 11600.

It is an arithmetic number, because the mean of its divisors is an integer number (656250).

Almost surely, 2^13709024 is an apocalyptic number.

13709024 is a gapful number since it is divisible by the number (14) 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 13709024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750000).

13709024 is an abundant number, since it is smaller than the sum of its proper divisors (17790976).

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

13709024 is an equidigital number, since it uses as much as digits as its factorization.

13709024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 13709024 is about 3702.5699183135. The cubic root of 13709024 is about 239.3327764014.

Adding to 13709024 its reverse (42090731), we get a palindrome (55799755).

The spelling of 13709024 in words is "thirteen million, seven hundred nine thousand, twenty-four".