13088840 has 64 divisors (see below), whose sum is σ = 31570560. Its totient is φ = 4871680.

The previous prime is 13088839. The next prime is 13088857. The reversal of 13088840 is 4888031.

It is a junction number, because it is equal to n+sod(n) for n = 13088797 and 13088806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37547 + ... + 37893.

It is an arithmetic number, because the mean of its divisors is an integer number (493290).

Almost surely, 2^13088840 is an apocalyptic number.

13088840 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 13088840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15785280).

13088840 is an abundant number, since it is smaller than the sum of its proper divisors (18481720).

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

13088840 is a wasteful number, since it uses less digits than its factorization.

13088840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 13088840 is about 3617.8501903755. The cubic root of 13088840 is about 235.6678752477.

The spelling of 13088840 in words is "thirteen million, eighty-eight thousand, eight hundred forty".