14634240 has 144 divisors (see below), whose sum is σ = 48467328. Its totient is φ = 3760128.

The previous prime is 14634239. The next prime is 14634247. The reversal of 14634240 is 4243641.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 14634240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14634247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142029 + ... + 142131.

Almost surely, 2^14634240 is an apocalyptic number.

14634240 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 14634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24233664).

14634240 is an abundant number, since it is smaller than the sum of its proper divisors (33833088).

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

14634240 is a wasteful number, since it uses less digits than its factorization.

14634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 14634240 is about 3825.4725198333. The cubic root of 14634240 is about 244.6001530134.

Adding to 14634240 its reverse (4243641), we get a palindrome (18877881).

The spelling of 14634240 in words is "fourteen million, six hundred thirty-four thousand, two hundred forty".