14088960 has 108 divisors (see below), whose sum is σ = 48786192. Its totient is φ = 3753984.

The previous prime is 14088941. The next prime is 14088979. The reversal of 14088960 is 6988041.

It is a happy number.

14088960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14088941) and next prime (14088979).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10909 + ... + 12131.

It is an arithmetic number, because the mean of its divisors is an integer number (451724).

Almost surely, 2^14088960 is an apocalyptic number.

14088960 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 14088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393096).

14088960 is an abundant number, since it is smaller than the sum of its proper divisors (34697232).

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

14088960 is a wasteful number, since it uses less digits than its factorization.

14088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 14088960 is about 3753.5263419883. The cubic root of 14088960 is about 241.5236400350.

The spelling of 14088960 in words is "fourteen million, eighty-eight thousand, nine hundred sixty".