13388080 has 40 divisors (see below), whose sum is σ = 31975632. Its totient is φ = 5209344.

The previous prime is 13388071. The next prime is 13388083. The reversal of 13388080 is 8088331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) 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 (13388083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699 + ... + 5221.

Almost surely, 2^13388080 is an apocalyptic number.

13388080 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 13388080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987816).

13388080 is an abundant number, since it is smaller than the sum of its proper divisors (18587552).

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

13388080 is a wasteful number, since it uses less digits than its factorization.

13388080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 13388080 is about 3658.9725333760. The cubic root of 13388080 is about 237.4503238670.

The spelling of 13388080 in words is "thirteen million, three hundred eighty-eight thousand, eighty".