14214960 has 80 divisors (see below), whose sum is σ = 48970080. Its totient is φ = 3790080.

The previous prime is 14214953. The next prime is 14214973. The reversal of 14214960 is 6941241.

14214960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131 + ... + 5450.

It is an arithmetic number, because the mean of its divisors is an integer number (612126).

Almost surely, 2^14214960 is an apocalyptic number.

14214960 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 14214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24485040).

14214960 is an abundant number, since it is smaller than the sum of its proper divisors (34755120).

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

14214960 is a wasteful number, since it uses less digits than its factorization.

14214960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14214960 is about 3770.2731996501. The cubic root of 14214960 is about 242.2415001475.

The spelling of 14214960 in words is "fourteen million, two hundred fourteen thousand, nine hundred sixty".