13066880 has 64 divisors (see below), whose sum is σ = 33103080. Its totient is φ = 4915200.

The previous prime is 13066877. The next prime is 13066901. The reversal of 13066880 is 8866031.

It can be written as a sum of positive squares in 4 ways, for example, as 7795264 + 5271616 = 2792^2 + 2296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10280 + ... + 11480.

Almost surely, 2^13066880 is an apocalyptic number.

13066880 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 13066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16551540).

13066880 is an abundant number, since it is smaller than the sum of its proper divisors (20036200).

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

13066880 is a wasteful number, since it uses less digits than its factorization.

13066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 13066880 is about 3614.8139647844. The cubic root of 13066880 is about 235.5360030182.

The spelling of 13066880 in words is "thirteen million, sixty-six thousand, eight hundred eighty".