13282896 has 60 divisors (see below), whose sum is σ = 37733696. Its totient is φ = 4023360.

The previous prime is 13282879. The next prime is 13282897. The reversal of 13282896 is 69828231.

It is a happy number.

It is a super-2 number, since 2×13282896² = 352870652293632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13282897) 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, 4665 + ... + 6951.

Almost surely, 2^13282896 is an apocalyptic number.

13282896 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 13282896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18866848).

13282896 is an abundant number, since it is smaller than the sum of its proper divisors (24450800).

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

13282896 is a wasteful number, since it uses less digits than its factorization.

13282896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2303 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 13282896 is about 3644.5707566187. The cubic root of 13282896 is about 236.8268421301.

It can be divided in two parts, 1328 and 2896, that added together give a palindrome (4224).

The spelling of 13282896 in words is "thirteen million, two hundred eighty-two thousand, eight hundred ninety-six".