14641264 has 40 divisors (see below), whose sum is σ = 31716720. Its totient is φ = 6489600.

The previous prime is 14641243. The next prime is 14641313. The reversal of 14641264 is 46214641.

It is a super-2 number, since 2×14641264² = 428733223035392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6202 + ... + 8230.

It is an arithmetic number, because the mean of its divisors is an integer number (792918).

Almost surely, 2^14641264 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 14641264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858360).

14641264 is an abundant number, since it is smaller than the sum of its proper divisors (17075456).

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

14641264 is a wasteful number, since it uses less digits than its factorization.

14641264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2083 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 14641264 is about 3826.3904662227. The cubic root of 14641264 is about 244.6392803538.

It can be divided in two parts, 14 and 641264, that added together give a triangular number (641278 = T₁₁₃₂).

The spelling of 14641264 in words is "fourteen million, six hundred forty-one thousand, two hundred sixty-four".