13389680 has 80 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 4840704.

The previous prime is 13389653. The next prime is 13389707. The reversal of 13389680 is 8698331.

13389680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13389653) and next prime (13389707).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34769 + ... + 35151.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 2^13389680 is an apocalyptic number.

13389680 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 13389680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

13389680 is an abundant number, since it is smaller than the sum of its proper divisors (20893840).

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

13389680 is a wasteful number, since it uses less digits than its factorization.

13389680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 13389680 is about 3659.1911674576. The cubic root of 13389680 is about 237.4597826638.

The spelling of 13389680 in words is "thirteen million, three hundred eighty-nine thousand, six hundred eighty".