14968224 has 36 divisors (see below), whose sum is σ = 42566706. Its totient is φ = 4989312.

The previous prime is 14968201. The next prime is 14968229. The reversal of 14968224 is 42286941.

It can be written as a sum of positive squares in only one way, i.e., 13927824 + 1040400 = 3732^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (14968229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25699 + ... + 26274.

Almost surely, 2^14968224 is an apocalyptic number.

It is an amenable number.

14968224 is an abundant number, since it is smaller than the sum of its proper divisors (27598482).

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

14968224 is a wasteful number, since it uses less digits than its factorization.

14968224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51989 (or 51978 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 14968224 is about 3868.8789073839. The cubic root of 14968224 is about 246.4469368615.

The spelling of 14968224 in words is "fourteen million, nine hundred sixty-eight thousand, two hundred twenty-four".