14983120 has 80 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 5384192.

The previous prime is 14983117. The next prime is 14983121. The reversal of 14983120 is 2138941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14983121) by changing a digit.

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, 31041 + ... + 31519.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 2^14983120 is an apocalyptic number.

14983120 is a gapful number since it is divisible by the number (10) 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 14983120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

14983120 is an abundant number, since it is smaller than the sum of its proper divisors (23585840).

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

14983120 is a wasteful number, since it uses less digits than its factorization.

14983120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 14983120 is about 3870.8035341515. The cubic root of 14983120 is about 246.5286623545.

The spelling of 14983120 in words is "fourteen million, nine hundred eighty-three thousand, one hundred twenty".