14214660 has 96 divisors (see below), whose sum is σ = 43155840. Its totient is φ = 3483648.

The previous prime is 14214649. The next prime is 14214661. The reversal of 14214660 is 6641241.

14214660 = 180² + 181² + ... + 364².

It is a self number, because there is not a number n which added to its sum of digits gives 14214660.

It is not an unprimeable number, because it can be changed into a prime (14214661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42012 + ... + 42348.

It is an arithmetic number, because the mean of its divisors is an integer number (449540).

Almost surely, 2^14214660 is an apocalyptic number.

14214660 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 14214660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21577920).

14214660 is an abundant number, since it is smaller than the sum of its proper divisors (28941180).

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

14214660 is a wasteful number, since it uses less digits than its factorization.

14214660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14214660 is about 3770.2334145249. The cubic root of 14214660 is about 242.2397960048.

The spelling of 14214660 in words is "fourteen million, two hundred fourteen thousand, six hundred sixty".