14870160 has 120 divisors (see below), whose sum is σ = 52615680. Its totient is φ = 3753216.

The previous prime is 14870147. The next prime is 14870161. The reversal of 14870160 is 6107841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×14870160² = 442243316851200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14870161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13137 + ... + 14223.

It is an arithmetic number, because the mean of its divisors is an integer number (438464).

Almost surely, 2^14870160 is an apocalyptic number.

14870160 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 14870160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26307840).

14870160 is an abundant number, since it is smaller than the sum of its proper divisors (37745520).

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

14870160 is a wasteful number, since it uses less digits than its factorization.

14870160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 14870160 is about 3856.1846428821. The cubic root of 14870160 is about 245.9075599536.

The spelling of 14870160 in words is "fourteen million, eight hundred seventy thousand, one hundred sixty".