14109264 has 60 divisors (see below), whose sum is σ = 42529396. Its totient is φ = 4340736.

The previous prime is 14109241. The next prime is 14109301. The reversal of 14109264 is 46290141.

It can be written as a sum of positive squares in 2 ways, for example, as 3920400 + 10188864 = 1980^2 + 3192^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1897 + ... + 5640.

Almost surely, 2^14109264 is an apocalyptic number.

It is an amenable number.

14109264 is an abundant number, since it is smaller than the sum of its proper divisors (28420132).

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

14109264 is a wasteful number, since it uses less digits than its factorization.

14109264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 7555 counting only the distinct ones).

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

The square root of 14109264 is about 3756.2300249053. The cubic root of 14109264 is about 241.6396065354.

Subtracting from 14109264 its product of nonzero digits (1728), we obtain a square (14107536 = 3756²).

It can be divided in two parts, 14 and 109264, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 14109264 in words is "fourteen million, one hundred nine thousand, two hundred sixty-four".