14981120 has 192 divisors, whose sum is σ = 47174400. Its totient is φ = 4423680.

The previous prime is 14981111. The next prime is 14981123. The reversal of 14981120 is 2118941.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14981120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14981123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788471 + ... + 788489.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^14981120 is an apocalyptic number.

14981120 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 14981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

14981120 is an abundant number, since it is smaller than the sum of its proper divisors (32193280).

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

14981120 is a wasteful number, since it uses less digits than its factorization.

14981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 14981120 is about 3870.5451812374. The cubic root of 14981120 is about 246.5176926930.

The spelling of 14981120 in words is "fourteen million, nine hundred eighty-one thousand, one hundred twenty".