14560896 has 64 divisors (see below), whose sum is σ = 44210880. Its totient is φ = 4159488.

The previous prime is 14560873. The next prime is 14560901. The reversal of 14560896 is 69806541.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21 + ... + 5396.

It is an arithmetic number, because the mean of its divisors is an integer number (690795).

Almost surely, 2^14560896 is an apocalyptic number.

14560896 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 14560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22105440).

14560896 is an abundant number, since it is smaller than the sum of its proper divisors (29649984).

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

14560896 is an equidigital number, since it uses as much as digits as its factorization.

14560896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 14560896 is about 3815.8742117633. The cubic root of 14560896 is about 244.1908387867.

The spelling of 14560896 in words is "fourteen million, five hundred sixty thousand, eight hundred ninety-six".