13526016 has 176 divisors, whose sum is σ = 44804736. Its totient is φ = 3538944.

The previous prime is 13526011. The next prime is 13526017. The reversal of 13526016 is 61062531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13526011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365550 + ... + 365586.

Almost surely, 2^13526016 is an apocalyptic number.

13526016 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 13526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22402368).

13526016 is an abundant number, since it is smaller than the sum of its proper divisors (31278720).

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

13526016 is a wasteful number, since it uses less digits than its factorization.

13526016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 13526016 is about 3677.7732393393. The cubic root of 13526016 is about 238.2630145568.

Adding to 13526016 its reverse (61062531), we get a palindrome (74588547).

The spelling of 13526016 in words is "thirteen million, five hundred twenty-six thousand, sixteen".