14085120 has 176 divisors, whose sum is σ = 51879168. Its totient is φ = 3194880.

The previous prime is 14085091. The next prime is 14085133. The reversal of 14085120 is 2158041.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107455 + ... + 107585.

It is an arithmetic number, because the mean of its divisors is an integer number (294768).

Almost surely, 2^14085120 is an apocalyptic number.

14085120 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 14085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25939584).

14085120 is an abundant number, since it is smaller than the sum of its proper divisors (37794048).

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

14085120 is a wasteful number, since it uses less digits than its factorization.

14085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 14085120 is about 3753.0147881403. The cubic root of 14085120 is about 241.5016953102.

The spelling of 14085120 in words is "fourteen million, eighty-five thousand, one hundred twenty".