14803264 has 56 divisors (see below), whose sum is σ = 33942528. Its totient is φ = 6274560.

The previous prime is 14803259. The next prime is 14803273. The reversal of 14803264 is 46230841.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77409 + ... + 77599.

Almost surely, 2^14803264 is an apocalyptic number.

14803264 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 14803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16971264).

14803264 is an abundant number, since it is smaller than the sum of its proper divisors (19139264).

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

14803264 is a wasteful number, since it uses less digits than its factorization.

14803264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

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

The square root of 14803264 is about 3847.5010071474. The cubic root of 14803264 is about 245.5382529647.

It can be divided in two parts, 14 and 803264, that added together give a triangular number (803278 = T₁₂₆₇).

The spelling of 14803264 in words is "fourteen million, eight hundred three thousand, two hundred sixty-four".