13088880 has 240 divisors, whose sum is σ = 52228800. Its totient is φ = 2935296.

The previous prime is 13088879. The next prime is 13088923. The reversal of 13088880 is 8888031.

13088880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246934 + ... + 246986.

It is an arithmetic number, because the mean of its divisors is an integer number (217620).

Almost surely, 2^13088880 is an apocalyptic number.

13088880 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 13088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26114400).

13088880 is an abundant number, since it is smaller than the sum of its proper divisors (39139920).

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

13088880 is a wasteful number, since it uses less digits than its factorization.

13088880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 13088880 is about 3617.8557185161. The cubic root of 13088880 is about 235.6681153175.

The spelling of 13088880 in words is "thirteen million, eighty-eight thousand, eight hundred eighty".