13077216 has 72 divisors (see below), whose sum is σ = 39390624. Its totient is φ = 4101120.

The previous prime is 13077209. The next prime is 13077217. The reversal of 13077216 is 61277031.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 13077216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13077217) 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 11 ways as a sum of consecutive naturals, for example, 3561 + ... + 6231.

It is an arithmetic number, because the mean of its divisors is an integer number (547092).

Almost surely, 2^13077216 is an apocalyptic number.

13077216 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 13077216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19695312).

13077216 is an abundant number, since it is smaller than the sum of its proper divisors (26313408).

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

13077216 is a wasteful number, since it uses less digits than its factorization.

13077216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 13077216 is about 3616.2433546430. The cubic root of 13077216 is about 235.5980902318.

The spelling of 13077216 in words is "thirteen million, seventy-seven thousand, two hundred sixteen".