14705120 has 48 divisors (see below), whose sum is σ = 35244720. Its totient is φ = 5796864.

The previous prime is 14705111. The next prime is 14705123. The reversal of 14705120 is 2150741.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 14705092 and 14705101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14705123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11051 + ... + 12309.

It is an arithmetic number, because the mean of its divisors is an integer number (734265).

Almost surely, 2^14705120 is an apocalyptic number.

14705120 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 14705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17622360).

14705120 is an abundant number, since it is smaller than the sum of its proper divisors (20539600).

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

14705120 is a wasteful number, since it uses less digits than its factorization.

14705120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 14705120 is about 3834.7255442861. The cubic root of 14705120 is about 244.9944188649.

Adding to 14705120 its reverse (2150741), we get a palindrome (16855861).

The spelling of 14705120 in words is "fourteen million, seven hundred five thousand, one hundred twenty".