14267664 has 100 divisors (see below), whose sum is σ = 42086220. Its totient is φ = 4665600.

The previous prime is 14267647. The next prime is 14267677. The reversal of 14267664 is 46676241.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 2073600 = 3492^2 + 1440^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 130842 + ... + 130950.

Almost surely, 2^14267664 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 14267664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21043110).

14267664 is an abundant number, since it is smaller than the sum of its proper divisors (27818556).

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

14267664 is a wasteful number, since it uses less digits than its factorization.

14267664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 14267664 is about 3777.2561469935. The cubic root of 14267664 is about 242.5405125924.

The spelling of 14267664 in words is "fourteen million, two hundred sixty-seven thousand, six hundred sixty-four".