20368960 has 56 divisors (see below), whose sum is σ = 49459896. Its totient is φ = 7987200.

The previous prime is 20368951. The next prime is 20368967. The reversal of 20368960 is 6986302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 20286016 = 288^2 + 4504^2 .

It is not an unprimeable number, because it can be changed into a prime (20368967) 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, 16360 + ... + 17560.

Almost surely, 2^20368960 is an apocalyptic number.

20368960 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 20368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24729948).

20368960 is an abundant number, since it is smaller than the sum of its proper divisors (29090936).

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

20368960 is a wasteful number, since it uses less digits than its factorization.

20368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 20368960 is about 4513.1984224051. The cubic root of 20368960 is about 273.1007870741.

The spelling of 20368960 in words is "twenty million, three hundred sixty-eight thousand, nine hundred sixty".