13538360 has 64 divisors (see below), whose sum is σ = 34408800. Its totient is φ = 4748800.

The previous prime is 13538359. The next prime is 13538377. The reversal of 13538360 is 6383531.

13538360 = T₂₁₉ + T₂₂₀ + ... + T₄₅₀.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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, 12230 + ... + 13290.

Almost surely, 2^13538360 is an apocalyptic number.

13538360 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 13538360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204400).

13538360 is an abundant number, since it is smaller than the sum of its proper divisors (20870440).

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

13538360 is a wasteful number, since it uses less digits than its factorization.

13538360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 13538360 is about 3679.4510460122. The cubic root of 13538360 is about 238.3354730547.

The spelling of 13538360 in words is "thirteen million, five hundred thirty-eight thousand, three hundred sixty".