14220960 has 192 divisors, whose sum is σ = 50295168. Its totient is φ = 3354624.

The previous prime is 14220929. The next prime is 14220977. The reversal of 14220960 is 6902241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14220960.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 268294 + ... + 268346.

It is an arithmetic number, because the mean of its divisors is an integer number (261954).

Almost surely, 2^14220960 is an apocalyptic number.

14220960 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 14220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25147584).

14220960 is an abundant number, since it is smaller than the sum of its proper divisors (36074208).

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

14220960 is a wasteful number, since it uses less digits than its factorization.

14220960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 14220960 is about 3771.0688140102. The cubic root of 14220960 is about 242.2755779677.

The spelling of 14220960 in words is "fourteen million, two hundred twenty thousand, nine hundred sixty".