14330976 has 96 divisors (see below), whose sum is σ = 42166656. Its totient is φ = 4224000.

The previous prime is 14330971. The next prime is 14330977. The reversal of 14330976 is 67903341.

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

It is a super-2 number, since 2×14330976² = 410753746225152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14330971) 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 15 ways as a sum of consecutive naturals, for example, 43131 + ... + 43461.

It is an arithmetic number, because the mean of its divisors is an integer number (439236).

Almost surely, 2^14330976 is an apocalyptic number.

14330976 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 14330976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21083328).

14330976 is an abundant number, since it is smaller than the sum of its proper divisors (27835680).

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

14330976 is a wasteful number, since it uses less digits than its factorization.

14330976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 14330976 is about 3785.6275569580. The cubic root of 14330976 is about 242.8987367875.

The spelling of 14330976 in words is "fourteen million, three hundred thirty thousand, nine hundred seventy-six".