20385768 has 64 divisors (see below), whose sum is σ = 55319040. Its totient is φ = 6223104.

The previous prime is 20385763. The next prime is 20385769. The reversal of 20385768 is 86758302.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20385763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69430 + ... + 69722.

It is an arithmetic number, because the mean of its divisors is an integer number (864360).

Almost surely, 2^20385768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20385768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27659520).

20385768 is an abundant number, since it is smaller than the sum of its proper divisors (34933272).

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

20385768 is a wasteful number, since it uses less digits than its factorization.

20385768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 20385768 is about 4515.0601324899. The cubic root of 20385768 is about 273.1758852629.

The spelling of 20385768 in words is "twenty million, three hundred eighty-five thousand, seven hundred sixty-eight".