20384000 has 216 divisors, whose sum is σ = 63613368. Its totient is φ = 6451200.

The previous prime is 20383999. The next prime is 20384027. The reversal of 20384000 is 48302.

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 17172736 = 1792^2 + 4144^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20384000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567994 + ... + 1568006.

Almost surely, 2^20384000 is an apocalyptic number.

20384000 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 20384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31806684).

20384000 is an abundant number, since it is smaller than the sum of its proper divisors (43229368).

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

20384000 is an equidigital number, since it uses as much as digits as its factorization.

20384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 20384000 is about 4514.8643390472. The cubic root of 20384000 is about 273.1679877773.

The spelling of 20384000 in words is "twenty million, three hundred eighty-four thousand".