14814240 has 96 divisors (see below), whose sum is σ = 53343360. Its totient is φ = 3385344.

The previous prime is 14814227. The next prime is 14814263. The reversal of 14814240 is 4241841.

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

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 14814240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1156 + ... + 5564.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 2^14814240 is an apocalyptic number.

14814240 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 14814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671680).

14814240 is an abundant number, since it is smaller than the sum of its proper divisors (38529120).

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

14814240 is a wasteful number, since it uses less digits than its factorization.

14814240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 14814240 is about 3848.9271232384. The cubic root of 14814240 is about 245.5989234145.

The spelling of 14814240 in words is "fourteen million, eight hundred fourteen thousand, two hundred forty".