14964672 has 56 divisors (see below), whose sum is σ = 40581072. Its totient is φ = 4864000.

The previous prime is 14964671. The next prime is 14964679. The reversal of 14964672 is 27646941.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14964672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14964671) 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 7 ways as a sum of consecutive naturals, for example, 6922 + ... + 8822.

It is an arithmetic number, because the mean of its divisors is an integer number (724662).

Almost surely, 2^14964672 is an apocalyptic number.

14964672 is a gapful number since it is divisible by the number (12) 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 14964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20290536).

14964672 is an abundant number, since it is smaller than the sum of its proper divisors (25616400).

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

14964672 is a wasteful number, since it uses less digits than its factorization.

14964672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1947 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 14964672 is about 3868.4198324380. The cubic root of 14964672 is about 246.4274411446.

The spelling of 14964672 in words is "fourteen million, nine hundred sixty-four thousand, six hundred seventy-two".