13524896 has 72 divisors (see below), whose sum is σ = 33516000. Its totient is φ = 5258880.

The previous prime is 13524893. The next prime is 13524899. The reversal of 13524896 is 69842531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13524893) and next prime (13524899).

It is not an unprimeable number, because it can be changed into a prime (13524893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26855 + ... + 27353.

It is an arithmetic number, because the mean of its divisors is an integer number (465500).

Almost surely, 2^13524896 is an apocalyptic number.

13524896 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 13524896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758000).

13524896 is an abundant number, since it is smaller than the sum of its proper divisors (19991104).

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

13524896 is a wasteful number, since it uses less digits than its factorization.

13524896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 519 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 13524896 is about 3677.6209701382. The cubic root of 13524896 is about 238.2564380467.

The spelling of 13524896 in words is "thirteen million, five hundred twenty-four thousand, eight hundred ninety-six".