13106880 has 224 divisors, whose sum is σ = 48646080. Its totient is φ = 3317760.

The previous prime is 13106879. The next prime is 13106911. The reversal of 13106880 is 8860131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319660 + ... + 319700.

It is an arithmetic number, because the mean of its divisors is an integer number (217170).

Almost surely, 2^13106880 is an apocalyptic number.

13106880 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 13106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24323040).

13106880 is an abundant number, since it is smaller than the sum of its proper divisors (35539200).

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

13106880 is a wasteful number, since it uses less digits than its factorization.

13106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 13106880 is about 3620.3425252316. The cubic root of 13106880 is about 235.7760971310.

The spelling of 13106880 in words is "thirteen million, one hundred six thousand, eight hundred eighty".