14464896 has 64 divisors (see below), whose sum is σ = 38841600. Its totient is φ = 4769280.

The previous prime is 14464883. The next prime is 14464897. The reversal of 14464896 is 69846441.

14464896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14464897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53241 + ... + 53511.

It is an arithmetic number, because the mean of its divisors is an integer number (606900).

Almost surely, 2^14464896 is an apocalyptic number.

14464896 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 14464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19420800).

14464896 is an abundant number, since it is smaller than the sum of its proper divisors (24376704).

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

14464896 is a wasteful number, since it uses less digits than its factorization.

14464896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 415 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 14464896 is about 3803.2743787426. The cubic root of 14464896 is about 243.6530049320.

The spelling of 14464896 in words is "fourteen million, four hundred sixty-four thousand, eight hundred ninety-six".