14271264 has 72 divisors (see below), whose sum is σ = 46388160. Its totient is φ = 4076928.

The previous prime is 14271251. The next prime is 14271287. The reversal of 14271264 is 46217241.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1524 + ... + 5555.

It is an arithmetic number, because the mean of its divisors is an integer number (644280).

Almost surely, 2^14271264 is an apocalyptic number.

14271264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14271264 is an abundant number, since it is smaller than the sum of its proper divisors (32116896).

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

14271264 is a wasteful number, since it uses less digits than its factorization.

14271264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7102 (or 7091 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 14271264 is about 3777.7326533253. The cubic root of 14271264 is about 242.5609100548.

It can be divided in two parts, 14271 and 264, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 14271264 in words is "fourteen million, two hundred seventy-one thousand, two hundred sixty-four".