20016960 has 112 divisors (see below), whose sum is σ = 65836800. Its totient is φ = 5146624.

The previous prime is 20016947. The next prime is 20016961. The reversal of 20016960 is 6961002.

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 20016960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20016961) 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 15 ways as a sum of consecutive naturals, for example, 27481 + ... + 28199.

Almost surely, 2^20016960 is an apocalyptic number.

20016960 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 20016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32918400).

20016960 is an abundant number, since it is smaller than the sum of its proper divisors (45819840).

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

20016960 is a wasteful number, since it uses less digits than its factorization.

20016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 20016960 is about 4474.0317388235. The cubic root of 20016960 is about 271.5184675193.

Adding to 20016960 its reverse (6961002), we get a palindrome (26977962).

The spelling of 20016960 in words is "twenty million, sixteen thousand, nine hundred sixty".