14385360 has 80 divisors (see below), whose sum is σ = 48657600. Its totient is φ = 3486720.

The previous prime is 14385359. The next prime is 14385361. The reversal of 14385360 is 6358341.

14385360 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (14385359) and next prime (14385361).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14385361) 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, 85 + ... + 5364.

It is an arithmetic number, because the mean of its divisors is an integer number (608220).

Almost surely, 2^14385360 is an apocalyptic number.

14385360 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 14385360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24328800).

14385360 is an abundant number, since it is smaller than the sum of its proper divisors (34272240).

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

14385360 is a wasteful number, since it uses less digits than its factorization.

14385360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 14385360 is about 3792.8037122952. The cubic root of 14385360 is about 243.2056042395.

The spelling of 14385360 in words is "fourteen million, three hundred eighty-five thousand, three hundred sixty".