14755120 has 40 divisors (see below), whose sum is σ = 34529040. Its totient is φ = 5863680.

The previous prime is 14755109. The next prime is 14755123. The reversal of 14755120 is 2155741.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (14755123) 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, 13971 + ... + 14989.

It is an arithmetic number, because the mean of its divisors is an integer number (863226).

Almost surely, 2^14755120 is an apocalyptic number.

14755120 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 14755120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17264520).

14755120 is an abundant number, since it is smaller than the sum of its proper divisors (19773920).

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

14755120 is a wasteful number, since it uses less digits than its factorization.

14755120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 14755120 is about 3841.2393833241. The cubic root of 14755120 is about 245.2717794798.

The spelling of 14755120 in words is "fourteen million, seven hundred fifty-five thousand, one hundred twenty".