13388160 has 128 divisors (see below), whose sum is σ = 45043200. Its totient is φ = 3373056.

The previous prime is 13388119. The next prime is 13388189. The reversal of 13388160 is 6188331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 36297 + ... + 36663.

It is an arithmetic number, because the mean of its divisors is an integer number (351900).

Almost surely, 2^13388160 is an apocalyptic number.

13388160 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 13388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22521600).

13388160 is an abundant number, since it is smaller than the sum of its proper divisors (31655040).

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

13388160 is a wasteful number, since it uses less digits than its factorization.

13388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13388160 is about 3658.9834653904. The cubic root of 13388160 is about 237.4507968248.

The spelling of 13388160 in words is "thirteen million, three hundred eighty-eight thousand, one hundred sixty".