20380160 has 80 divisors (see below), whose sum is σ = 51559200. Its totient is φ = 7704576.

The previous prime is 20380123. The next prime is 20380169. The reversal of 20380160 is 6108302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20380169) 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 7 ways as a sum of consecutive naturals, for example, 48431 + ... + 48849.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^20380160 is an apocalyptic number.

20380160 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 20380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779600).

20380160 is an abundant number, since it is smaller than the sum of its proper divisors (31179040).

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

20380160 is an equidigital number, since it uses as much as digits as its factorization.

20380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 20380160 is about 4514.4390570701. The cubic root of 20380160 is about 273.1508332942.

Adding to 20380160 its reverse (6108302), we get a palindrome (26488462).

The spelling of 20380160 in words is "twenty million, three hundred eighty thousand, one hundred sixty".