14286240 has 96 divisors (see below), whose sum is σ = 50016960. Its totient is φ = 3808512.

The previous prime is 14286229. The next prime is 14286247. The reversal of 14286240 is 4268241.

14286240 is a `hidden beast` number, since 14 + 28 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×14286240³ (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14286247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2667 + ... + 5973.

It is an arithmetic number, because the mean of its divisors is an integer number (521010).

Almost surely, 2^14286240 is an apocalyptic number.

14286240 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 14286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25008480).

14286240 is an abundant number, since it is smaller than the sum of its proper divisors (35730720).

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

14286240 is a wasteful number, since it uses less digits than its factorization.

14286240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14286240 is about 3779.7142749155. The cubic root of 14286240 is about 242.6457267015.

The spelling of 14286240 in words is "fourteen million, two hundred eighty-six thousand, two hundred forty".