14304864 has 72 divisors (see below), whose sum is σ = 43695288. Its totient is φ = 4085760.

The previous prime is 14304863. The next prime is 14304869. The reversal of 14304864 is 46840341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14304863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3184 + ... + 6224.

It is an arithmetic number, because the mean of its divisors is an integer number (606879).

Almost surely, 2^14304864 is an apocalyptic number.

14304864 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 14304864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21847644).

14304864 is an abundant number, since it is smaller than the sum of its proper divisors (29390424).

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

14304864 is a wasteful number, since it uses less digits than its factorization.

14304864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 14304864 is about 3782.1771507956. The cubic root of 14304864 is about 242.7511211630.

The spelling of 14304864 in words is "fourteen million, three hundred four thousand, eight hundred sixty-four".