20180160 has 504 divisors, whose sum is σ = 94859856. Its totient is φ = 3870720.

The previous prime is 20180141. The next prime is 20180161. The reversal of 20180160 is 6108102.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20180161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1552314 + ... + 1552326.

It is an arithmetic number, because the mean of its divisors is an integer number (188214).

Almost surely, 2^20180160 is an apocalyptic number.

20180160 is a gapful number since it is divisible by the number (20) 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 20180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47429928).

20180160 is an abundant number, since it is smaller than the sum of its proper divisors (74679696).

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

20180160 is a wasteful number, since it uses less digits than its factorization.

20180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 20180160 is about 4492.2332975926. The cubic root of 20180160 is about 272.2543756427.

Adding to 20180160 its reverse (6108102), we get a palindrome (26288262).

The spelling of 20180160 in words is "twenty million, one hundred eighty thousand, one hundred sixty".