14768320 has 112 divisors (see below), whose sum is σ = 42428160. Its totient is φ = 4783104.

The previous prime is 14768317. The next prime is 14768329. The reversal of 14768320 is 2386741.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (14768329) 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, 42387 + ... + 42733.

Almost surely, 2^14768320 is an apocalyptic number.

14768320 is a gapful number since it is divisible by the number (10) 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 14768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21214080).

14768320 is an abundant number, since it is smaller than the sum of its proper divisors (27659840).

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

14768320 is a wasteful number, since it uses less digits than its factorization.

14768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 14768320 is about 3842.9571946614. The cubic root of 14768320 is about 245.3448981106.

The spelling of 14768320 in words is "fourteen million, seven hundred sixty-eight thousand, three hundred twenty".