14641224 has 64 divisors (see below), whose sum is σ = 39795840. Its totient is φ = 4462080.

The previous prime is 14641219. The next prime is 14641243. The reversal of 14641224 is 42214641.

It is a happy number.

14641224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14641194 and 14641203.

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, 51964 + ... + 52244.

It is an arithmetic number, because the mean of its divisors is an integer number (621810).

Almost surely, 2^14641224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14641224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897920).

14641224 is an abundant number, since it is smaller than the sum of its proper divisors (25154616).

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

14641224 is a wasteful number, since it uses less digits than its factorization.

14641224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 466 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 14641224 is about 3826.3852393610. The cubic root of 14641224 is about 244.6390575684.

Adding to 14641224 its reverse (42214641), we get a palindrome (56855865).

The spelling of 14641224 in words is "fourteen million, six hundred forty-one thousand, two hundred twenty-four".