14306976 has 96 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 4596480.

The previous prime is 14306923. The next prime is 14306977. The reversal of 14306976 is 67960341.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 14306976.

It is not an unprimeable number, because it can be changed into a prime (14306977) 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, 24771 + ... + 25341.

It is an arithmetic number, because the mean of its divisors is an integer number (450450).

Almost surely, 2^14306976 is an apocalyptic number.

14306976 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 14306976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

14306976 is an abundant number, since it is smaller than the sum of its proper divisors (28936224).

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

14306976 is a wasteful number, since it uses less digits than its factorization.

14306976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 14306976 is about 3782.4563447580. The cubic root of 14306976 is about 242.7630673360.

The spelling of 14306976 in words is "fourteen million, three hundred six thousand, nine hundred seventy-six".