13305776 has 80 divisors (see below), whose sum is σ = 31069440. Its totient is φ = 5448960.

The previous prime is 13305749. The next prime is 13305779. The reversal of 13305776 is 67750331.

It is not an unprimeable number, because it can be changed into a prime (13305779) by changing a digit.

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, 76826 + ... + 76998.

It is an arithmetic number, because the mean of its divisors is an integer number (388368).

Almost surely, 2^13305776 is an apocalyptic number.

13305776 is a gapful number since it is divisible by the number (16) 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 13305776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534720).

13305776 is an abundant number, since it is smaller than the sum of its proper divisors (17763664).

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

13305776 is a wasteful number, since it uses less digits than its factorization.

13305776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 32.

The square root of 13305776 is about 3647.7083216727. The cubic root of 13305776 is about 236.9627434655.

The spelling of 13305776 in words is "thirteen million, three hundred five thousand, seven hundred seventy-six".