14285264 has 80 divisors (see below), whose sum is σ = 34224000. Its totient is φ = 5757696.

The previous prime is 14285263. The next prime is 14285279. The reversal of 14285264 is 46258241.

It is a self number, because there is not a number n which added to its sum of digits gives 14285264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14285263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104204 + ... + 104340.

It is an arithmetic number, because the mean of its divisors is an integer number (427800).

Almost surely, 2^14285264 is an apocalyptic number.

14285264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14285264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17112000).

14285264 is an abundant number, since it is smaller than the sum of its proper divisors (19938736).

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

14285264 is a wasteful number, since it uses less digits than its factorization.

14285264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 14285264 is about 3779.5851624219. The cubic root of 14285264 is about 242.6402009270.

The spelling of 14285264 in words is "fourteen million, two hundred eighty-five thousand, two hundred sixty-four".