14533008 has 120 divisors (see below), whose sum is σ = 45122112. Its totient is φ = 4015872.

The previous prime is 14533007. The next prime is 14533021. The reversal of 14533008 is 80033541.

It is a super-2 number, since 2×14533008² = 422416643056128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14533003) 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 23 ways as a sum of consecutive naturals, for example, 86941 + ... + 87107.

Almost surely, 2^14533008 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 14533008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22561056).

14533008 is an abundant number, since it is smaller than the sum of its proper divisors (30589104).

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

14533008 is a wasteful number, since it uses less digits than its factorization.

14533008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 14533008 is about 3812.2182518843. The cubic root of 14533008 is about 244.0348422877.

Adding to 14533008 its reverse (80033541), we get a palindrome (94566549).

It can be divided in two parts, 145 and 33008, that added together give a triangular number (33153 = T₂₅₇).

The spelling of 14533008 in words is "fourteen million, five hundred thirty-three thousand, eight".