13083880 has 64 divisors (see below), whose sum is σ = 31726080. Its totient is φ = 4838400.

The previous prime is 13083869. The next prime is 13083881. The reversal of 13083880 is 8838031.

13083880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13083881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48145 + ... + 48415.

It is an arithmetic number, because the mean of its divisors is an integer number (495720).

Almost surely, 2^13083880 is an apocalyptic number.

13083880 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 13083880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863040).

13083880 is an abundant number, since it is smaller than the sum of its proper divisors (18642200).

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

13083880 is a wasteful number, since it uses less digits than its factorization.

13083880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

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

The square root of 13083880 is about 3617.1646354569. The cubic root of 13083880 is about 235.6381028017.

The spelling of 13083880 in words is "thirteen million, eighty-three thousand, eight hundred eighty".