14305680 has 160 divisors (see below), whose sum is σ = 50889600. Its totient is φ = 3691008.

The previous prime is 14305667. The next prime is 14305699. The reversal of 14305680 is 8650341.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79831 + ... + 80009.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 2^14305680 is an apocalyptic number.

14305680 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 14305680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444800).

14305680 is an abundant number, since it is smaller than the sum of its proper divisors (36583920).

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

14305680 is a wasteful number, since it uses less digits than its factorization.

14305680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14305680 is about 3782.2850236332. The cubic root of 14305680 is about 242.7557368692.

The spelling of 14305680 in words is "fourteen million, three hundred five thousand, six hundred eighty".