13538720 has 96 divisors (see below), whose sum is σ = 36070272. Its totient is φ = 4764672.

The previous prime is 13538687. The next prime is 13538729. The reversal of 13538720 is 2783531.

13538720 = 424² + 425² + ... + 488².

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13538729) 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 15 ways as a sum of consecutive naturals, for example, 47699 + ... + 47981.

It is an arithmetic number, because the mean of its divisors is an integer number (375732).

Almost surely, 2^13538720 is an apocalyptic number.

13538720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3679×3680.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13538720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18035136).

13538720 is an abundant number, since it is smaller than the sum of its proper divisors (22531552).

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

13538720 is a wasteful number, since it uses less digits than its factorization.

13538720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 13538720 is about 3679.4999660280. The cubic root of 13538720 is about 238.3375855708.

The spelling of 13538720 in words is "thirteen million, five hundred thirty-eight thousand, seven hundred twenty".