13286016 has 96 divisors (see below), whose sum is σ = 40310400. Its totient is φ = 4188672.

The previous prime is 13286003. The next prime is 13286029. The reversal of 13286016 is 61068231.

It is an interprime number because it is at equal distance from previous prime (13286003) and next prime (13286029).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21585 + ... + 22191.

It is an arithmetic number, because the mean of its divisors is an integer number (419900).

Almost surely, 2^13286016 is an apocalyptic number.

13286016 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 13286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20155200).

13286016 is an abundant number, since it is smaller than the sum of its proper divisors (27024384).

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

13286016 is a wasteful number, since it uses less digits than its factorization.

13286016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13286016 is about 3644.9987654319. The cubic root of 13286016 is about 236.8453833153.

The spelling of 13286016 in words is "thirteen million, two hundred eighty-six thousand, sixteen".