13389120 has 84 divisors (see below), whose sum is σ = 46062900. Its totient is φ = 3569664.

The previous prime is 13389107. The next prime is 13389121. The reversal of 13389120 is 2198331.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 3504384 = 3144^2 + 1872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13389121) 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, 556 + ... + 5204.

Almost surely, 2^13389120 is an apocalyptic number.

13389120 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 13389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23031450).

13389120 is an abundant number, since it is smaller than the sum of its proper divisors (32673780).

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

13389120 is a wasteful number, since it uses less digits than its factorization.

13389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13389120 is about 3659.1146470150. The cubic root of 13389120 is about 237.4564721707.

It can be divided in two parts, 133 and 89120, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 13389120 in words is "thirteen million, three hundred eighty-nine thousand, one hundred twenty".