14091264 has 132 divisors (see below), whose sum is σ = 44706480. Its totient is φ = 4239360.

The previous prime is 14091251. The next prime is 14091289. The reversal of 14091264 is 46219041.

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×14091264² = 397127442235392, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101307 + ... + 101445.

Almost surely, 2^14091264 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 14091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353240).

14091264 is an abundant number, since it is smaller than the sum of its proper divisors (30615216).

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

14091264 is a wasteful number, since it uses less digits than its factorization.

14091264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14091264 is about 3753.8332408353. The cubic root of 14091264 is about 241.5368049560.

The spelling of 14091264 in words is "fourteen million, ninety-one thousand, two hundred sixty-four".