14007264 has 48 divisors (see below), whose sum is σ = 37476432. Its totient is φ = 4579328.

The previous prime is 14007241. The next prime is 14007277. The reversal of 14007264 is 46270041.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3712 + ... + 6464.

It is an arithmetic number, because the mean of its divisors is an integer number (780759).

Almost surely, 2^14007264 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 14007264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738216).

14007264 is an abundant number, since it is smaller than the sum of its proper divisors (23469168).

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

14007264 is a wasteful number, since it uses less digits than its factorization.

14007264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 14007264 is about 3742.6279537245. The cubic root of 14007264 is about 241.0559031946.

The spelling of 14007264 in words is "fourteen million, seven thousand, two hundred sixty-four".