20368768 has 64 divisors (see below), whose sum is σ = 47001600. Its totient is φ = 8612352.

The previous prime is 20368763. The next prime is 20368769. The reversal of 20368768 is 86786302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20368768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20368763) 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, 113703 + ... + 113881.

It is an arithmetic number, because the mean of its divisors is an integer number (734400).

Almost surely, 2^20368768 is an apocalyptic number.

20368768 is a gapful number since it is divisible by the number (28) 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 20368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23500800).

20368768 is an abundant number, since it is smaller than the sum of its proper divisors (26632832).

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

20368768 is a wasteful number, since it uses less digits than its factorization.

20368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 20368768 is about 4513.1771514090. The cubic root of 20368768 is about 273.0999289790.

The spelling of 20368768 in words is "twenty million, three hundred sixty-eight thousand, seven hundred sixty-eight".