14332896 has 96 divisors (see below), whose sum is σ = 42729120. Its totient is φ = 4672512.

The previous prime is 14332883. The next prime is 14332907. The reversal of 14332896 is 69823341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×14332896³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14332896.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45636 + ... + 45948.

It is an arithmetic number, because the mean of its divisors is an integer number (445095).

Almost surely, 2^14332896 is an apocalyptic number.

14332896 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 14332896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21364560).

14332896 is an abundant number, since it is smaller than the sum of its proper divisors (28396224).

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

14332896 is a wasteful number, since it uses less digits than its factorization.

14332896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 14332896 is about 3785.8811391802. The cubic root of 14332896 is about 242.9095837982.

The spelling of 14332896 in words is "fourteen million, three hundred thirty-two thousand, eight hundred ninety-six".