14213760 has 128 divisors (see below), whose sum is σ = 49498560. Its totient is φ = 3440640.

The previous prime is 14213743. The next prime is 14213789. The reversal of 14213760 is 6731241.

It is a tau number, because it is divible by the number of its divisors (128).

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 14213760.

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, 20784 + ... + 21456.

Almost surely, 2^14213760 is an apocalyptic number.

14213760 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 14213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24749280).

14213760 is an abundant number, since it is smaller than the sum of its proper divisors (35284800).

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

14213760 is a wasteful number, since it uses less digits than its factorization.

14213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 14213760 is about 3770.1140566301. The cubic root of 14213760 is about 242.2346834328.

The spelling of 14213760 in words is "fourteen million, two hundred thirteen thousand, seven hundred sixty".