14952168 has 256 divisors, whose sum is σ = 55296000. Its totient is φ = 3628800.

The previous prime is 14952151. The next prime is 14952169. The reversal of 14952168 is 86125941.

14952168 is a `hidden beast` number, since 1 + 495 + 2 + 168 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14952169) 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 63 ways as a sum of consecutive naturals, for example, 482313 + ... + 482343.

It is an arithmetic number, because the mean of its divisors is an integer number (216000).

Almost surely, 2^14952168 is an apocalyptic number.

14952168 is a gapful number since it is divisible by the number (18) 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 14952168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648000).

14952168 is an abundant number, since it is smaller than the sum of its proper divisors (40343832).

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

14952168 is a wasteful number, since it uses less digits than its factorization.

14952168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 14952168 is about 3866.8033309182. The cubic root of 14952168 is about 246.3587863969.

It can be divided in two parts, 1495 and 2168, that added together give a palindrome (3663).

The spelling of 14952168 in words is "fourteen million, nine hundred fifty-two thousand, one hundred sixty-eight".