14057160 has 64 divisors (see below), whose sum is σ = 45420480. Its totient is φ = 3459840.

The previous prime is 14057081. The next prime is 14057177. The reversal of 14057160 is 6175041.

It is a super-3 number, since 3×14057160³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14057160.

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, 2946 + ... + 6065.

It is an arithmetic number, because the mean of its divisors is an integer number (709695).

Almost surely, 2^14057160 is an apocalyptic number.

14057160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14057160 is an abundant number, since it is smaller than the sum of its proper divisors (31363320).

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

14057160 is a wasteful number, since it uses less digits than its factorization.

14057160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9038 (or 9034 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 14057160 is about 3749.2879323946. The cubic root of 14057160 is about 241.3417899081.

The spelling of 14057160 in words is "fourteen million, fifty-seven thousand, one hundred sixty".