14185920 has 112 divisors (see below), whose sum is σ = 51499008. Its totient is φ = 3240960.

The previous prime is 14185909. The next prime is 14185931. The reversal of 14185920 is 2958141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14185909) and next prime (14185931).

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5665 + ... + 7775.

Almost surely, 2^14185920 is an apocalyptic number.

14185920 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 14185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25749504).

14185920 is an abundant number, since it is smaller than the sum of its proper divisors (37313088).

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

14185920 is a wasteful number, since it uses less digits than its factorization.

14185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 14185920 is about 3766.4200509237. The cubic root of 14185920 is about 242.0764278330.

The spelling of 14185920 in words is "fourteen million, one hundred eighty-five thousand, nine hundred twenty".