14496896 has 32 divisors (see below), whose sum is σ = 29670780. Its totient is φ = 7050240.

The previous prime is 14496841. The next prime is 14496899. The reversal of 14496896 is 69869441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11022400 + 3474496 = 3320^2 + 1864^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14496896.

It is not an unprimeable number, because it can be changed into a prime (14496899) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3206 + ... + 6266.

Almost surely, 2^14496896 is an apocalyptic number.

14496896 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 14496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835390).

14496896 is an abundant number, since it is smaller than the sum of its proper divisors (15173884).

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

14496896 is an equidigital number, since it uses as much as digits as its factorization.

14496896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3100 counting only the distinct ones).

The product of its digits is 373248, while the sum is 47.

The square root of 14496896 is about 3807.4789559497. The cubic root of 14496896 is about 243.8325465765.

The spelling of 14496896 in words is "fourteen million, four hundred ninety-six thousand, eight hundred ninety-six".